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Finding the Third Proportional to 159,684 and 348,540

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Solution

The third proportional to 159,684 and 348,540 is: 760,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684 : 348,540 = 348,540 : x
  2. Step 2: Convert to fraction form
    159,684/348,540 = 348,540/x
  3. Step 3: Cross multiply
    159,684x = 348,540 × 348,540
  4. Step 4: Simplify right side
    159,684x = 121,480,131,600
  5. Step 5: Solve for x
    x = 121,480,131,600/159,684
  6. Step 6: Final answer
    x = 760,753.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.