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Finding the Third Proportional to 129,184 and 278,160

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Solution

The third proportional to 129,184 and 278,160 is: 598,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,184 : 278,160 = 278,160 : x
  2. Step 2: Convert to fraction form
    129,184/278,160 = 278,160/x
  3. Step 3: Cross multiply
    129,184x = 278,160 × 278,160
  4. Step 4: Simplify right side
    129,184x = 77,372,985,600
  5. Step 5: Solve for x
    x = 77,372,985,600/129,184
  6. Step 6: Final answer
    x = 598,936.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.