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Finding the Third Proportional to 157,676 and 230,646

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Solution

The third proportional to 157,676 and 230,646 is: 337,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676 : 230,646 = 230,646 : x
  2. Step 2: Convert to fraction form
    157,676/230,646 = 230,646/x
  3. Step 3: Cross multiply
    157,676x = 230,646 × 230,646
  4. Step 4: Simplify right side
    157,676x = 53,197,577,316
  5. Step 5: Solve for x
    x = 53,197,577,316/157,676
  6. Step 6: Final answer
    x = 337,385.38

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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.