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Finding the Third Proportional to 191,057.06 and 286,633.69

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Solution

The third proportional to 191,057.06 and 286,633.69 is: 430,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,057.06 : 286,633.69 = 286,633.69 : x
  2. Step 2: Convert to fraction form
    191,057.06/286,633.69 = 286,633.69/x
  3. Step 3: Cross multiply
    191,057.06x = 286,633.69 × 286,633.69
  4. Step 4: Simplify right side
    191,057.06x = 82,158,870,809.85
  5. Step 5: Solve for x
    x = 82,158,870,809.85/191,057.06
  6. Step 6: Final answer
    x = 430,022.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.