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Finding the Third Proportional to 132,518.25 and 288,363.75

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Solution

The third proportional to 132,518.25 and 288,363.75 is: 627,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,518.25 : 288,363.75 = 288,363.75 : x
  2. Step 2: Convert to fraction form
    132,518.25/288,363.75 = 288,363.75/x
  3. Step 3: Cross multiply
    132,518.25x = 288,363.75 × 288,363.75
  4. Step 4: Simplify right side
    132,518.25x = 83,153,652,314.06
  5. Step 5: Solve for x
    x = 83,153,652,314.06/132,518.25
  6. Step 6: Final answer
    x = 627,488.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.