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Finding the Third Proportional to 233,367.25 and 360,416.25

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Solution

The third proportional to 233,367.25 and 360,416.25 is: 556,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,367.25 : 360,416.25 = 360,416.25 : x
  2. Step 2: Convert to fraction form
    233,367.25/360,416.25 = 360,416.25/x
  3. Step 3: Cross multiply
    233,367.25x = 360,416.25 × 360,416.25
  4. Step 4: Simplify right side
    233,367.25x = 129,899,873,264.06
  5. Step 5: Solve for x
    x = 129,899,873,264.06/233,367.25
  6. Step 6: Final answer
    x = 556,632.83

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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.