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Finding the Third Proportional to 181,819.69 and 286,767.84

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Solution

The third proportional to 181,819.69 and 286,767.84 is: 452,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,819.69 : 286,767.84 = 286,767.84 : x
  2. Step 2: Convert to fraction form
    181,819.69/286,767.84 = 286,767.84/x
  3. Step 3: Cross multiply
    181,819.69x = 286,767.84 × 286,767.84
  4. Step 4: Simplify right side
    181,819.69x = 82,235,796,209.02
  5. Step 5: Solve for x
    x = 82,235,796,209.02/181,819.69
  6. Step 6: Final answer
    x = 452,293.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.