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Finding the Third Proportional to 177,294 and 266,070

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Solution

The third proportional to 177,294 and 266,070 is: 399,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,294 : 266,070 = 266,070 : x
  2. Step 2: Convert to fraction form
    177,294/266,070 = 266,070/x
  3. Step 3: Cross multiply
    177,294x = 266,070 × 266,070
  4. Step 4: Simplify right side
    177,294x = 70,793,244,900
  5. Step 5: Solve for x
    x = 70,793,244,900/177,294
  6. Step 6: Final answer
    x = 399,298.59

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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.