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Finding the Third Proportional to 151,871.50 and 241,371

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Solution

The third proportional to 151,871.50 and 241,371 is: 383,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,871.50 : 241,371 = 241,371 : x
  2. Step 2: Convert to fraction form
    151,871.50/241,371 = 241,371/x
  3. Step 3: Cross multiply
    151,871.50x = 241,371 × 241,371
  4. Step 4: Simplify right side
    151,871.50x = 58,259,959,641
  5. Step 5: Solve for x
    x = 58,259,959,641/151,871.50
  6. Step 6: Final answer
    x = 383,613.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.