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Finding the Third Proportional to 159,582 and 345,758

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Solution

The third proportional to 159,582 and 345,758 is: 749,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,582 : 345,758 = 345,758 : x
  2. Step 2: Convert to fraction form
    159,582/345,758 = 345,758/x
  3. Step 3: Cross multiply
    159,582x = 345,758 × 345,758
  4. Step 4: Simplify right side
    159,582x = 119,548,594,564
  5. Step 5: Solve for x
    x = 119,548,594,564/159,582
  6. Step 6: Final answer
    x = 749,135.83

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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.