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Finding the Third Proportional to 189,487.69 and 286,206.19

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Solution

The third proportional to 189,487.69 and 286,206.19 is: 432,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,487.69 : 286,206.19 = 286,206.19 : x
  2. Step 2: Convert to fraction form
    189,487.69/286,206.19 = 286,206.19/x
  3. Step 3: Cross multiply
    189,487.69x = 286,206.19 × 286,206.19
  4. Step 4: Simplify right side
    189,487.69x = 81,913,981,763.29
  5. Step 5: Solve for x
    x = 81,913,981,763.29/189,487.69
  6. Step 6: Final answer
    x = 432,291.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.