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Finding the Third Proportional to 119,924 and 259,720

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Solution

The third proportional to 119,924 and 259,720 is: 562,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,924 : 259,720 = 259,720 : x
  2. Step 2: Convert to fraction form
    119,924/259,720 = 259,720/x
  3. Step 3: Cross multiply
    119,924x = 259,720 × 259,720
  4. Step 4: Simplify right side
    119,924x = 67,454,478,400
  5. Step 5: Solve for x
    x = 67,454,478,400/119,924
  6. Step 6: Final answer
    x = 562,476.89

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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.