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Finding the Third Proportional to 243,015.75 and 530,250.75

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Solution

The third proportional to 243,015.75 and 530,250.75 is: 1,156,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,015.75 : 530,250.75 = 530,250.75 : x
  2. Step 2: Convert to fraction form
    243,015.75/530,250.75 = 530,250.75/x
  3. Step 3: Cross multiply
    243,015.75x = 530,250.75 × 530,250.75
  4. Step 4: Simplify right side
    243,015.75x = 281,165,857,875.56
  5. Step 5: Solve for x
    x = 281,165,857,875.56/243,015.75
  6. Step 6: Final answer
    x = 1,156,986.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.