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Finding the Third Proportional to 181,425.38 and 286,052.06

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Solution

The third proportional to 181,425.38 and 286,052.06 is: 451,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,425.38 : 286,052.06 = 286,052.06 : x
  2. Step 2: Convert to fraction form
    181,425.38/286,052.06 = 286,052.06/x
  3. Step 3: Cross multiply
    181,425.38x = 286,052.06 × 286,052.06
  4. Step 4: Simplify right side
    181,425.38x = 81,825,782,460.50
  5. Step 5: Solve for x
    x = 81,825,782,460.50/181,425.38
  6. Step 6: Final answer
    x = 451,016.20

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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.