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Finding the Third Proportional to 112,960 and 241,432

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Solution

The third proportional to 112,960 and 241,432 is: 516,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,960 : 241,432 = 241,432 : x
  2. Step 2: Convert to fraction form
    112,960/241,432 = 241,432/x
  3. Step 3: Cross multiply
    112,960x = 241,432 × 241,432
  4. Step 4: Simplify right side
    112,960x = 58,289,410,624
  5. Step 5: Solve for x
    x = 58,289,410,624/112,960
  6. Step 6: Final answer
    x = 516,018.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.