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Finding the Third Proportional to 104,260 and 223,282

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Solution

The third proportional to 104,260 and 223,282 is: 478,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,260 : 223,282 = 223,282 : x
  2. Step 2: Convert to fraction form
    104,260/223,282 = 223,282/x
  3. Step 3: Cross multiply
    104,260x = 223,282 × 223,282
  4. Step 4: Simplify right side
    104,260x = 49,854,851,524
  5. Step 5: Solve for x
    x = 49,854,851,524/104,260
  6. Step 6: Final answer
    x = 478,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.