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Finding the Third Proportional to 181,924.31 and 382,699.13

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Solution

The third proportional to 181,924.31 and 382,699.13 is: 805,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,924.31 : 382,699.13 = 382,699.13 : x
  2. Step 2: Convert to fraction form
    181,924.31/382,699.13 = 382,699.13/x
  3. Step 3: Cross multiply
    181,924.31x = 382,699.13 × 382,699.13
  4. Step 4: Simplify right side
    181,924.31x = 146,458,620,275.77
  5. Step 5: Solve for x
    x = 146,458,620,275.77/181,924.31
  6. Step 6: Final answer
    x = 805,052.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.