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Finding the Third Proportional to 156,942 and 341,909

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Solution

The third proportional to 156,942 and 341,909 is: 744,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 341,909 = 341,909 : x
  2. Step 2: Convert to fraction form
    156,942/341,909 = 341,909/x
  3. Step 3: Cross multiply
    156,942x = 341,909 × 341,909
  4. Step 4: Simplify right side
    156,942x = 116,901,764,281
  5. Step 5: Solve for x
    x = 116,901,764,281/156,942
  6. Step 6: Final answer
    x = 744,872.40

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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.