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Finding the Third Proportional to 132,603.75 and 288,292.50

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Solution

The third proportional to 132,603.75 and 288,292.50 is: 626,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,603.75 : 288,292.50 = 288,292.50 : x
  2. Step 2: Convert to fraction form
    132,603.75/288,292.50 = 288,292.50/x
  3. Step 3: Cross multiply
    132,603.75x = 288,292.50 × 288,292.50
  4. Step 4: Simplify right side
    132,603.75x = 83,112,565,556.25
  5. Step 5: Solve for x
    x = 83,112,565,556.25/132,603.75
  6. Step 6: Final answer
    x = 626,773.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.