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Finding the Third Proportional to 177,484 and 261,014

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Solution

The third proportional to 177,484 and 261,014 is: 383,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,484 : 261,014 = 261,014 : x
  2. Step 2: Convert to fraction form
    177,484/261,014 = 261,014/x
  3. Step 3: Cross multiply
    177,484x = 261,014 × 261,014
  4. Step 4: Simplify right side
    177,484x = 68,128,308,196
  5. Step 5: Solve for x
    x = 68,128,308,196/177,484
  6. Step 6: Final answer
    x = 383,856.06

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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.