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Finding the Third Proportional to 159,984 and 240,987

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Solution

The third proportional to 159,984 and 240,987 is: 363,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,984 : 240,987 = 240,987 : x
  2. Step 2: Convert to fraction form
    159,984/240,987 = 240,987/x
  3. Step 3: Cross multiply
    159,984x = 240,987 × 240,987
  4. Step 4: Simplify right side
    159,984x = 58,074,734,169
  5. Step 5: Solve for x
    x = 58,074,734,169/159,984
  6. Step 6: Final answer
    x = 363,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.