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Finding the Third Proportional to 177,060.50 and 266,931.47

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Solution

The third proportional to 177,060.50 and 266,931.47 is: 402,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,060.50 : 266,931.47 = 266,931.47 : x
  2. Step 2: Convert to fraction form
    177,060.50/266,931.47 = 266,931.47/x
  3. Step 3: Cross multiply
    177,060.50x = 266,931.47 × 266,931.47
  4. Step 4: Simplify right side
    177,060.50x = 71,252,407,444.97
  5. Step 5: Solve for x
    x = 71,252,407,444.97/177,060.50
  6. Step 6: Final answer
    x = 402,418.42

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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.