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Finding the Third Proportional to 130,855.50 and 286,633.69

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Solution

The third proportional to 130,855.50 and 286,633.69 is: 627,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,855.50 : 286,633.69 = 286,633.69 : x
  2. Step 2: Convert to fraction form
    130,855.50/286,633.69 = 286,633.69/x
  3. Step 3: Cross multiply
    130,855.50x = 286,633.69 × 286,633.69
  4. Step 4: Simplify right side
    130,855.50x = 82,158,870,809.85
  5. Step 5: Solve for x
    x = 82,158,870,809.85/130,855.50
  6. Step 6: Final answer
    x = 627,859.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.