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Finding the Third Proportional to 104,394 and 221,748

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Solution

The third proportional to 104,394 and 221,748 is: 471,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,394 : 221,748 = 221,748 : x
  2. Step 2: Convert to fraction form
    104,394/221,748 = 221,748/x
  3. Step 3: Cross multiply
    104,394x = 221,748 × 221,748
  4. Step 4: Simplify right side
    104,394x = 49,172,175,504
  5. Step 5: Solve for x
    x = 49,172,175,504/104,394
  6. Step 6: Final answer
    x = 471,024.92

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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.