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Finding the Third Proportional to 176,018 and 239,154

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Solution

The third proportional to 176,018 and 239,154 is: 324,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,018 : 239,154 = 239,154 : x
  2. Step 2: Convert to fraction form
    176,018/239,154 = 239,154/x
  3. Step 3: Cross multiply
    176,018x = 239,154 × 239,154
  4. Step 4: Simplify right side
    176,018x = 57,194,635,716
  5. Step 5: Solve for x
    x = 57,194,635,716/176,018
  6. Step 6: Final answer
    x = 324,936.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.