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Finding the Third Proportional to 138,537 and 296,028

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Solution

The third proportional to 138,537 and 296,028 is: 632,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,537 : 296,028 = 296,028 : x
  2. Step 2: Convert to fraction form
    138,537/296,028 = 296,028/x
  3. Step 3: Cross multiply
    138,537x = 296,028 × 296,028
  4. Step 4: Simplify right side
    138,537x = 87,632,576,784
  5. Step 5: Solve for x
    x = 87,632,576,784/138,537
  6. Step 6: Final answer
    x = 632,557.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.