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Finding the Third Proportional to 247,513.50 and 386,053.50

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Solution

The third proportional to 247,513.50 and 386,053.50 is: 602,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,513.50 : 386,053.50 = 386,053.50 : x
  2. Step 2: Convert to fraction form
    247,513.50/386,053.50 = 386,053.50/x
  3. Step 3: Cross multiply
    247,513.50x = 386,053.50 × 386,053.50
  4. Step 4: Simplify right side
    247,513.50x = 149,037,304,862.25
  5. Step 5: Solve for x
    x = 149,037,304,862.25/247,513.50
  6. Step 6: Final answer
    x = 602,138.08

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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.