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Finding the Third Proportional to 137,655.38 and 201,934.13

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Solution

The third proportional to 137,655.38 and 201,934.13 is: 296,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655.38 : 201,934.13 = 201,934.13 : x
  2. Step 2: Convert to fraction form
    137,655.38/201,934.13 = 201,934.13/x
  3. Step 3: Cross multiply
    137,655.38x = 201,934.13 × 201,934.13
  4. Step 4: Simplify right side
    137,655.38x = 40,777,390,839.52
  5. Step 5: Solve for x
    x = 40,777,390,839.52/137,655.38
  6. Step 6: Final answer
    x = 296,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.