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Finding the Third Proportional to 176,397 and 266,217

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Solution

The third proportional to 176,397 and 266,217 is: 401,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,397 : 266,217 = 266,217 : x
  2. Step 2: Convert to fraction form
    176,397/266,217 = 266,217/x
  3. Step 3: Cross multiply
    176,397x = 266,217 × 266,217
  4. Step 4: Simplify right side
    176,397x = 70,871,491,089
  5. Step 5: Solve for x
    x = 70,871,491,089/176,397
  6. Step 6: Final answer
    x = 401,772.66

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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.