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Finding the Third Proportional to 176,519 and 382,018

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Solution

The third proportional to 176,519 and 382,018 is: 826,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,519 : 382,018 = 382,018 : x
  2. Step 2: Convert to fraction form
    176,519/382,018 = 382,018/x
  3. Step 3: Cross multiply
    176,519x = 382,018 × 382,018
  4. Step 4: Simplify right side
    176,519x = 145,937,752,324
  5. Step 5: Solve for x
    x = 145,937,752,324/176,519
  6. Step 6: Final answer
    x = 826,753.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.