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Finding the Third Proportional to 156,982 and 336,572

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Solution

The third proportional to 156,982 and 336,572 is: 721,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 336,572 = 336,572 : x
  2. Step 2: Convert to fraction form
    156,982/336,572 = 336,572/x
  3. Step 3: Cross multiply
    156,982x = 336,572 × 336,572
  4. Step 4: Simplify right side
    156,982x = 113,280,711,184
  5. Step 5: Solve for x
    x = 113,280,711,184/156,982
  6. Step 6: Final answer
    x = 721,615.93

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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.