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Finding the Third Proportional to 80,408 and 176,365

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Solution

The third proportional to 80,408 and 176,365 is: 386,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,408 : 176,365 = 176,365 : x
  2. Step 2: Convert to fraction form
    80,408/176,365 = 176,365/x
  3. Step 3: Cross multiply
    80,408x = 176,365 × 176,365
  4. Step 4: Simplify right side
    80,408x = 31,104,613,225
  5. Step 5: Solve for x
    x = 31,104,613,225/80,408
  6. Step 6: Final answer
    x = 386,834.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.