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Finding the Third Proportional to 156,982 and 340,034

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Solution

The third proportional to 156,982 and 340,034 is: 736,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 340,034 = 340,034 : x
  2. Step 2: Convert to fraction form
    156,982/340,034 = 340,034/x
  3. Step 3: Cross multiply
    156,982x = 340,034 × 340,034
  4. Step 4: Simplify right side
    156,982x = 115,623,121,156
  5. Step 5: Solve for x
    x = 115,623,121,156/156,982
  6. Step 6: Final answer
    x = 736,537.44

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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.