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Finding the Third Proportional to 243,648 and 360,672.75

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Solution

The third proportional to 243,648 and 360,672.75 is: 533,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,648 : 360,672.75 = 360,672.75 : x
  2. Step 2: Convert to fraction form
    243,648/360,672.75 = 360,672.75/x
  3. Step 3: Cross multiply
    243,648x = 360,672.75 × 360,672.75
  4. Step 4: Simplify right side
    243,648x = 130,084,832,592.56
  5. Step 5: Solve for x
    x = 130,084,832,592.56/243,648
  6. Step 6: Final answer
    x = 533,904.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.