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Finding the Third Proportional to 137,731.50 and 296,541

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Solution

The third proportional to 137,731.50 and 296,541 is: 638,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,731.50 : 296,541 = 296,541 : x
  2. Step 2: Convert to fraction form
    137,731.50/296,541 = 296,541/x
  3. Step 3: Cross multiply
    137,731.50x = 296,541 × 296,541
  4. Step 4: Simplify right side
    137,731.50x = 87,936,564,681
  5. Step 5: Solve for x
    x = 87,936,564,681/137,731.50
  6. Step 6: Final answer
    x = 638,463.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.