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Finding the Third Proportional to 119,856 and 260,623

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Solution

The third proportional to 119,856 and 260,623 is: 566,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856 : 260,623 = 260,623 : x
  2. Step 2: Convert to fraction form
    119,856/260,623 = 260,623/x
  3. Step 3: Cross multiply
    119,856x = 260,623 × 260,623
  4. Step 4: Simplify right side
    119,856x = 67,924,348,129
  5. Step 5: Solve for x
    x = 67,924,348,129/119,856
  6. Step 6: Final answer
    x = 566,716.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.