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Finding the Third Proportional to 243,015.75 and 364,520.25

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Solution

The third proportional to 243,015.75 and 364,520.25 is: 546,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,015.75 : 364,520.25 = 364,520.25 : x
  2. Step 2: Convert to fraction form
    243,015.75/364,520.25 = 364,520.25/x
  3. Step 3: Cross multiply
    243,015.75x = 364,520.25 × 364,520.25
  4. Step 4: Simplify right side
    243,015.75x = 132,875,012,660.06
  5. Step 5: Solve for x
    x = 132,875,012,660.06/243,015.75
  6. Step 6: Final answer
    x = 546,775.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.