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Finding the Third Proportional to 157,846 and 241,467

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Solution

The third proportional to 157,846 and 241,467 is: 369,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,846 : 241,467 = 241,467 : x
  2. Step 2: Convert to fraction form
    157,846/241,467 = 241,467/x
  3. Step 3: Cross multiply
    157,846x = 241,467 × 241,467
  4. Step 4: Simplify right side
    157,846x = 58,306,312,089
  5. Step 5: Solve for x
    x = 58,306,312,089/157,846
  6. Step 6: Final answer
    x = 369,387.33

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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.