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Finding the Third Proportional to 172,536 and 375,446

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Solution

The third proportional to 172,536 and 375,446 is: 816,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,536 : 375,446 = 375,446 : x
  2. Step 2: Convert to fraction form
    172,536/375,446 = 375,446/x
  3. Step 3: Cross multiply
    172,536x = 375,446 × 375,446
  4. Step 4: Simplify right side
    172,536x = 140,959,698,916
  5. Step 5: Solve for x
    x = 140,959,698,916/172,536
  6. Step 6: Final answer
    x = 816,987.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.