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Finding the Third Proportional to 156,934 and 342,298

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Solution

The third proportional to 156,934 and 342,298 is: 746,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 342,298 = 342,298 : x
  2. Step 2: Convert to fraction form
    156,934/342,298 = 342,298/x
  3. Step 3: Cross multiply
    156,934x = 342,298 × 342,298
  4. Step 4: Simplify right side
    156,934x = 117,167,920,804
  5. Step 5: Solve for x
    x = 117,167,920,804/156,934
  6. Step 6: Final answer
    x = 746,606.35

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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.