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Finding the Third Proportional to 112,600 and 240,928

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Solution

The third proportional to 112,600 and 240,928 is: 515,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,600 : 240,928 = 240,928 : x
  2. Step 2: Convert to fraction form
    112,600/240,928 = 240,928/x
  3. Step 3: Cross multiply
    112,600x = 240,928 × 240,928
  4. Step 4: Simplify right side
    112,600x = 58,046,301,184
  5. Step 5: Solve for x
    x = 58,046,301,184/112,600
  6. Step 6: Final answer
    x = 515,508.89

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