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Finding the Third Proportional to 158,960 and 240,061

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Solution

The third proportional to 158,960 and 240,061 is: 362,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,960 : 240,061 = 240,061 : x
  2. Step 2: Convert to fraction form
    158,960/240,061 = 240,061/x
  3. Step 3: Cross multiply
    158,960x = 240,061 × 240,061
  4. Step 4: Simplify right side
    158,960x = 57,629,283,721
  5. Step 5: Solve for x
    x = 57,629,283,721/158,960
  6. Step 6: Final answer
    x = 362,539.53

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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.