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Finding the Third Proportional to 181,393 and 286,001

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Solution

The third proportional to 181,393 and 286,001 is: 450,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,393 : 286,001 = 286,001 : x
  2. Step 2: Convert to fraction form
    181,393/286,001 = 286,001/x
  3. Step 3: Cross multiply
    181,393x = 286,001 × 286,001
  4. Step 4: Simplify right side
    181,393x = 81,796,572,001
  5. Step 5: Solve for x
    x = 81,796,572,001/181,393
  6. Step 6: Final answer
    x = 450,935.66

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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.