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Finding the Third Proportional to 178,327 and 277,013

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Solution

The third proportional to 178,327 and 277,013 is: 430,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,327 : 277,013 = 277,013 : x
  2. Step 2: Convert to fraction form
    178,327/277,013 = 277,013/x
  3. Step 3: Cross multiply
    178,327x = 277,013 × 277,013
  4. Step 4: Simplify right side
    178,327x = 76,736,202,169
  5. Step 5: Solve for x
    x = 76,736,202,169/178,327
  6. Step 6: Final answer
    x = 430,311.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.