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Finding the Third Proportional to 152,813 and 241,919

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Solution

The third proportional to 152,813 and 241,919 is: 382,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,813 : 241,919 = 241,919 : x
  2. Step 2: Convert to fraction form
    152,813/241,919 = 241,919/x
  3. Step 3: Cross multiply
    152,813x = 241,919 × 241,919
  4. Step 4: Simplify right side
    152,813x = 58,524,802,561
  5. Step 5: Solve for x
    x = 58,524,802,561/152,813
  6. Step 6: Final answer
    x = 382,983.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.