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Finding the Third Proportional to 178,564 and 261,010

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Solution

The third proportional to 178,564 and 261,010 is: 381,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564 : 261,010 = 261,010 : x
  2. Step 2: Convert to fraction form
    178,564/261,010 = 261,010/x
  3. Step 3: Cross multiply
    178,564x = 261,010 × 261,010
  4. Step 4: Simplify right side
    178,564x = 68,126,220,100
  5. Step 5: Solve for x
    x = 68,126,220,100/178,564
  6. Step 6: Final answer
    x = 381,522.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.