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Finding the Third Proportional to 177,829 and 266,748

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Solution

The third proportional to 177,829 and 266,748 is: 400,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,829 : 266,748 = 266,748 : x
  2. Step 2: Convert to fraction form
    177,829/266,748 = 266,748/x
  3. Step 3: Cross multiply
    177,829x = 266,748 × 266,748
  4. Step 4: Simplify right side
    177,829x = 71,154,495,504
  5. Step 5: Solve for x
    x = 71,154,495,504/177,829
  6. Step 6: Final answer
    x = 400,128.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.