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Finding the Third Proportional to 178,432 and 269,160

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Solution

The third proportional to 178,432 and 269,160 is: 406,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,432 : 269,160 = 269,160 : x
  2. Step 2: Convert to fraction form
    178,432/269,160 = 269,160/x
  3. Step 3: Cross multiply
    178,432x = 269,160 × 269,160
  4. Step 4: Simplify right side
    178,432x = 72,447,105,600
  5. Step 5: Solve for x
    x = 72,447,105,600/178,432
  6. Step 6: Final answer
    x = 406,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.