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Finding the Third Proportional to 247,527 and 386,077.50

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Solution

The third proportional to 247,527 and 386,077.50 is: 602,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,527 : 386,077.50 = 386,077.50 : x
  2. Step 2: Convert to fraction form
    247,527/386,077.50 = 386,077.50/x
  3. Step 3: Cross multiply
    247,527x = 386,077.50 × 386,077.50
  4. Step 4: Simplify right side
    247,527x = 149,055,836,006.25
  5. Step 5: Solve for x
    x = 149,055,836,006.25/247,527
  6. Step 6: Final answer
    x = 602,180.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.