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Finding the Third Proportional to 156,359 and 341,397

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Solution

The third proportional to 156,359 and 341,397 is: 745,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,359 : 341,397 = 341,397 : x
  2. Step 2: Convert to fraction form
    156,359/341,397 = 341,397/x
  3. Step 3: Cross multiply
    156,359x = 341,397 × 341,397
  4. Step 4: Simplify right side
    156,359x = 116,551,911,609
  5. Step 5: Solve for x
    x = 116,551,911,609/156,359
  6. Step 6: Final answer
    x = 745,412.23

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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.