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Finding the Third Proportional to 157,674 and 230,643

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Solution

The third proportional to 157,674 and 230,643 is: 337,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,674 : 230,643 = 230,643 : x
  2. Step 2: Convert to fraction form
    157,674/230,643 = 230,643/x
  3. Step 3: Cross multiply
    157,674x = 230,643 × 230,643
  4. Step 4: Simplify right side
    157,674x = 53,196,193,449
  5. Step 5: Solve for x
    x = 53,196,193,449/157,674
  6. Step 6: Final answer
    x = 337,380.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.