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Finding the Third Proportional to 121,344 and 260,252

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Solution

The third proportional to 121,344 and 260,252 is: 558,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,344 : 260,252 = 260,252 : x
  2. Step 2: Convert to fraction form
    121,344/260,252 = 260,252/x
  3. Step 3: Cross multiply
    121,344x = 260,252 × 260,252
  4. Step 4: Simplify right side
    121,344x = 67,731,103,504
  5. Step 5: Solve for x
    x = 67,731,103,504/121,344
  6. Step 6: Final answer
    x = 558,174.31

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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.