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Finding the Third Proportional to 151,873 and 241,373

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Solution

The third proportional to 151,873 and 241,373 is: 383,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,873 : 241,373 = 241,373 : x
  2. Step 2: Convert to fraction form
    151,873/241,373 = 241,373/x
  3. Step 3: Cross multiply
    151,873x = 241,373 × 241,373
  4. Step 4: Simplify right side
    151,873x = 58,260,925,129
  5. Step 5: Solve for x
    x = 58,260,925,129/151,873
  6. Step 6: Final answer
    x = 383,616.08

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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.