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Finding the Third Proportional to 259,166.25 and 392,380.88

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Solution

The third proportional to 259,166.25 and 392,380.88 is: 594,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,166.25 : 392,380.88 = 392,380.88 : x
  2. Step 2: Convert to fraction form
    259,166.25/392,380.88 = 392,380.88/x
  3. Step 3: Cross multiply
    259,166.25x = 392,380.88 × 392,380.88
  4. Step 4: Simplify right side
    259,166.25x = 153,962,751,065.77
  5. Step 5: Solve for x
    x = 153,962,751,065.77/259,166.25
  6. Step 6: Final answer
    x = 594,069.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.