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Finding the Third Proportional to 176,535 and 261,373

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Solution

The third proportional to 176,535 and 261,373 is: 386,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,535 : 261,373 = 261,373 : x
  2. Step 2: Convert to fraction form
    176,535/261,373 = 261,373/x
  3. Step 3: Cross multiply
    176,535x = 261,373 × 261,373
  4. Step 4: Simplify right side
    176,535x = 68,315,845,129
  5. Step 5: Solve for x
    x = 68,315,845,129/176,535
  6. Step 6: Final answer
    x = 386,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.