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Finding the Third Proportional to 132,433.88 and 288,510.75

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Solution

The third proportional to 132,433.88 and 288,510.75 is: 628,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,433.88 : 288,510.75 = 288,510.75 : x
  2. Step 2: Convert to fraction form
    132,433.88/288,510.75 = 288,510.75/x
  3. Step 3: Cross multiply
    132,433.88x = 288,510.75 × 288,510.75
  4. Step 4: Simplify right side
    132,433.88x = 83,238,452,865.56
  5. Step 5: Solve for x
    x = 83,238,452,865.56/132,433.88
  6. Step 6: Final answer
    x = 628,528.41

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Why These Related Problems?

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