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Finding the Third Proportional to 169,498 and 361,508

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Solution

The third proportional to 169,498 and 361,508 is: 771,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,498 : 361,508 = 361,508 : x
  2. Step 2: Convert to fraction form
    169,498/361,508 = 361,508/x
  3. Step 3: Cross multiply
    169,498x = 361,508 × 361,508
  4. Step 4: Simplify right side
    169,498x = 130,688,034,064
  5. Step 5: Solve for x
    x = 130,688,034,064/169,498
  6. Step 6: Final answer
    x = 771,029.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.