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Finding the Third Proportional to 112,416 and 240,858

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Solution

The third proportional to 112,416 and 240,858 is: 516,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 240,858 = 240,858 : x
  2. Step 2: Convert to fraction form
    112,416/240,858 = 240,858/x
  3. Step 3: Cross multiply
    112,416x = 240,858 × 240,858
  4. Step 4: Simplify right side
    112,416x = 58,012,576,164
  5. Step 5: Solve for x
    x = 58,012,576,164/112,416
  6. Step 6: Final answer
    x = 516,052.66

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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.