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Finding the Third Proportional to 113,883.25 and 249,218.75

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Solution

The third proportional to 113,883.25 and 249,218.75 is: 545,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,883.25 : 249,218.75 = 249,218.75 : x
  2. Step 2: Convert to fraction form
    113,883.25/249,218.75 = 249,218.75/x
  3. Step 3: Cross multiply
    113,883.25x = 249,218.75 × 249,218.75
  4. Step 4: Simplify right side
    113,883.25x = 62,109,985,351.56
  5. Step 5: Solve for x
    x = 62,109,985,351.56/113,883.25
  6. Step 6: Final answer
    x = 545,382.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.