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Finding the Third Proportional to 139,458.52 and 286,267.78

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Solution

The third proportional to 139,458.52 and 286,267.78 is: 587,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,458.52 : 286,267.78 = 286,267.78 : x
  2. Step 2: Convert to fraction form
    139,458.52/286,267.78 = 286,267.78/x
  3. Step 3: Cross multiply
    139,458.52x = 286,267.78 × 286,267.78
  4. Step 4: Simplify right side
    139,458.52x = 81,949,242,581.80
  5. Step 5: Solve for x
    x = 81,949,242,581.80/139,458.52
  6. Step 6: Final answer
    x = 587,624.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.