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Finding the Third Proportional to 181,929 and 382,708.50

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Solution

The third proportional to 181,929 and 382,708.50 is: 805,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,929 : 382,708.50 = 382,708.50 : x
  2. Step 2: Convert to fraction form
    181,929/382,708.50 = 382,708.50/x
  3. Step 3: Cross multiply
    181,929x = 382,708.50 × 382,708.50
  4. Step 4: Simplify right side
    181,929x = 146,465,795,972.25
  5. Step 5: Solve for x
    x = 146,465,795,972.25/181,929
  6. Step 6: Final answer
    x = 805,071.19

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