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Finding the Third Proportional to 132,868.50 and 283,475.25

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Solution

The third proportional to 132,868.50 and 283,475.25 is: 604,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,868.50 : 283,475.25 = 283,475.25 : x
  2. Step 2: Convert to fraction form
    132,868.50/283,475.25 = 283,475.25/x
  3. Step 3: Cross multiply
    132,868.50x = 283,475.25 × 283,475.25
  4. Step 4: Simplify right side
    132,868.50x = 80,358,217,362.56
  5. Step 5: Solve for x
    x = 80,358,217,362.56/132,868.50
  6. Step 6: Final answer
    x = 604,795.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.