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Finding the Third Proportional to 181,920 and 391,200.75

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Solution

The third proportional to 181,920 and 391,200.75 is: 841,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,920 : 391,200.75 = 391,200.75 : x
  2. Step 2: Convert to fraction form
    181,920/391,200.75 = 391,200.75/x
  3. Step 3: Cross multiply
    181,920x = 391,200.75 × 391,200.75
  4. Step 4: Simplify right side
    181,920x = 153,038,026,800.56
  5. Step 5: Solve for x
    x = 153,038,026,800.56/181,920
  6. Step 6: Final answer
    x = 841,238.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.