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Finding the Third Proportional to 153,976 and 337,376

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Solution

The third proportional to 153,976 and 337,376 is: 739,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,976 : 337,376 = 337,376 : x
  2. Step 2: Convert to fraction form
    153,976/337,376 = 337,376/x
  3. Step 3: Cross multiply
    153,976x = 337,376 × 337,376
  4. Step 4: Simplify right side
    153,976x = 113,822,565,376
  5. Step 5: Solve for x
    x = 113,822,565,376/153,976
  6. Step 6: Final answer
    x = 739,222.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.