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Finding the Third Proportional to 172,332 and 365,508

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Solution

The third proportional to 172,332 and 365,508 is: 775,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,332 : 365,508 = 365,508 : x
  2. Step 2: Convert to fraction form
    172,332/365,508 = 365,508/x
  3. Step 3: Cross multiply
    172,332x = 365,508 × 365,508
  4. Step 4: Simplify right side
    172,332x = 133,596,098,064
  5. Step 5: Solve for x
    x = 133,596,098,064/172,332
  6. Step 6: Final answer
    x = 775,225.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.