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Finding the Third Proportional to 181,005.75 and 238,023

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Solution

The third proportional to 181,005.75 and 238,023 is: 313,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,005.75 : 238,023 = 238,023 : x
  2. Step 2: Convert to fraction form
    181,005.75/238,023 = 238,023/x
  3. Step 3: Cross multiply
    181,005.75x = 238,023 × 238,023
  4. Step 4: Simplify right side
    181,005.75x = 56,654,948,529
  5. Step 5: Solve for x
    x = 56,654,948,529/181,005.75
  6. Step 6: Final answer
    x = 313,000.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.