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Finding the Third Proportional to 112,368.52 and 239,037.96

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Solution

The third proportional to 112,368.52 and 239,037.96 is: 508,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,368.52 : 239,037.96 = 239,037.96 : x
  2. Step 2: Convert to fraction form
    112,368.52/239,037.96 = 239,037.96/x
  3. Step 3: Cross multiply
    112,368.52x = 239,037.96 × 239,037.96
  4. Step 4: Simplify right side
    112,368.52x = 57,139,146,769.16
  5. Step 5: Solve for x
    x = 57,139,146,769.16/112,368.52
  6. Step 6: Final answer
    x = 508,497.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.