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Finding the Third Proportional to 120,160 and 259,592

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Solution

The third proportional to 120,160 and 259,592 is: 560,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,160 : 259,592 = 259,592 : x
  2. Step 2: Convert to fraction form
    120,160/259,592 = 259,592/x
  3. Step 3: Cross multiply
    120,160x = 259,592 × 259,592
  4. Step 4: Simplify right side
    120,160x = 67,388,006,464
  5. Step 5: Solve for x
    x = 67,388,006,464/120,160
  6. Step 6: Final answer
    x = 560,818.96

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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.