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Finding the Third Proportional to 233,282.25 and 360,231.75

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Solution

The third proportional to 233,282.25 and 360,231.75 is: 556,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,282.25 : 360,231.75 = 360,231.75 : x
  2. Step 2: Convert to fraction form
    233,282.25/360,231.75 = 360,231.75/x
  3. Step 3: Cross multiply
    233,282.25x = 360,231.75 × 360,231.75
  4. Step 4: Simplify right side
    233,282.25x = 129,766,913,708.06
  5. Step 5: Solve for x
    x = 129,766,913,708.06/233,282.25
  6. Step 6: Final answer
    x = 556,265.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.