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Finding the Third Proportional to 140,637.52 and 303,265.27

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Solution

The third proportional to 140,637.52 and 303,265.27 is: 653,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,637.52 : 303,265.27 = 303,265.27 : x
  2. Step 2: Convert to fraction form
    140,637.52/303,265.27 = 303,265.27/x
  3. Step 3: Cross multiply
    140,637.52x = 303,265.27 × 303,265.27
  4. Step 4: Simplify right side
    140,637.52x = 91,969,821,334.60
  5. Step 5: Solve for x
    x = 91,969,821,334.60/140,637.52
  6. Step 6: Final answer
    x = 653,949.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.