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Finding the Third Proportional to 181,422 and 286,050

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Solution

The third proportional to 181,422 and 286,050 is: 451,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,422 : 286,050 = 286,050 : x
  2. Step 2: Convert to fraction form
    181,422/286,050 = 286,050/x
  3. Step 3: Cross multiply
    181,422x = 286,050 × 286,050
  4. Step 4: Simplify right side
    181,422x = 81,824,602,500
  5. Step 5: Solve for x
    x = 81,824,602,500/181,422
  6. Step 6: Final answer
    x = 451,018.08

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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.