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Finding the Third Proportional to 157,988 and 346,589

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Solution

The third proportional to 157,988 and 346,589 is: 760,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,988 : 346,589 = 346,589 : x
  2. Step 2: Convert to fraction form
    157,988/346,589 = 346,589/x
  3. Step 3: Cross multiply
    157,988x = 346,589 × 346,589
  4. Step 4: Simplify right side
    157,988x = 120,123,934,921
  5. Step 5: Solve for x
    x = 120,123,934,921/157,988
  6. Step 6: Final answer
    x = 760,335.82

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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.