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Finding the Third Proportional to 215,525.16 and 468,357.56

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Solution

The third proportional to 215,525.16 and 468,357.56 is: 1,017,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,525.16 : 468,357.56 = 468,357.56 : x
  2. Step 2: Convert to fraction form
    215,525.16/468,357.56 = 468,357.56/x
  3. Step 3: Cross multiply
    215,525.16x = 468,357.56 × 468,357.56
  4. Step 4: Simplify right side
    215,525.16x = 219,358,806,350.94
  5. Step 5: Solve for x
    x = 219,358,806,350.94/215,525.16
  6. Step 6: Final answer
    x = 1,017,787.48

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Why These Related Problems?

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