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Finding the Third Proportional to 157,674 and 244,818

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Solution

The third proportional to 157,674 and 244,818 is: 380,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,674 : 244,818 = 244,818 : x
  2. Step 2: Convert to fraction form
    157,674/244,818 = 244,818/x
  3. Step 3: Cross multiply
    157,674x = 244,818 × 244,818
  4. Step 4: Simplify right side
    157,674x = 59,935,853,124
  5. Step 5: Solve for x
    x = 59,935,853,124/157,674
  6. Step 6: Final answer
    x = 380,125.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.