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Finding the Third Proportional to 157,870 and 241,504

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Solution

The third proportional to 157,870 and 241,504 is: 369,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870 : 241,504 = 241,504 : x
  2. Step 2: Convert to fraction form
    157,870/241,504 = 241,504/x
  3. Step 3: Cross multiply
    157,870x = 241,504 × 241,504
  4. Step 4: Simplify right side
    157,870x = 58,324,182,016
  5. Step 5: Solve for x
    x = 58,324,182,016/157,870
  6. Step 6: Final answer
    x = 369,444.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.