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Finding the Third Proportional to 156,920 and 341,038

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Solution

The third proportional to 156,920 and 341,038 is: 741,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 341,038 = 341,038 : x
  2. Step 2: Convert to fraction form
    156,920/341,038 = 341,038/x
  3. Step 3: Cross multiply
    156,920x = 341,038 × 341,038
  4. Step 4: Simplify right side
    156,920x = 116,306,917,444
  5. Step 5: Solve for x
    x = 116,306,917,444/156,920
  6. Step 6: Final answer
    x = 741,186.07

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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.