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Finding the Third Proportional to 176,524.31 and 266,434.31

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Solution

The third proportional to 176,524.31 and 266,434.31 is: 402,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,524.31 : 266,434.31 = 266,434.31 : x
  2. Step 2: Convert to fraction form
    176,524.31/266,434.31 = 266,434.31/x
  3. Step 3: Cross multiply
    176,524.31x = 266,434.31 × 266,434.31
  4. Step 4: Simplify right side
    176,524.31x = 70,987,242,877.35
  5. Step 5: Solve for x
    x = 70,987,242,877.35/176,524.31
  6. Step 6: Final answer
    x = 402,138.62

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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.