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Finding the Third Proportional to 151,537 and 237,716

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Solution

The third proportional to 151,537 and 237,716 is: 372,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,537 : 237,716 = 237,716 : x
  2. Step 2: Convert to fraction form
    151,537/237,716 = 237,716/x
  3. Step 3: Cross multiply
    151,537x = 237,716 × 237,716
  4. Step 4: Simplify right side
    151,537x = 56,508,896,656
  5. Step 5: Solve for x
    x = 56,508,896,656/151,537
  6. Step 6: Final answer
    x = 372,904.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.