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Finding the Third Proportional to 181,425.94 and 286,053.28

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Solution

The third proportional to 181,425.94 and 286,053.28 is: 451,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,425.94 : 286,053.28 = 286,053.28 : x
  2. Step 2: Convert to fraction form
    181,425.94/286,053.28 = 286,053.28/x
  3. Step 3: Cross multiply
    181,425.94x = 286,053.28 × 286,053.28
  4. Step 4: Simplify right side
    181,425.94x = 81,826,479,713.89
  5. Step 5: Solve for x
    x = 81,826,479,713.89/181,425.94
  6. Step 6: Final answer
    x = 451,018.64

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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.