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Finding the Third Proportional to 868.54 and 1,358.33

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Solution

The third proportional to 868.54 and 1,358.33 is: 2,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,358.33 = 1,358.33 : x
  2. Step 2: Convert to fraction form
    868.54/1,358.33 = 1,358.33/x
  3. Step 3: Cross multiply
    868.54x = 1,358.33 × 1,358.33
  4. Step 4: Simplify right side
    868.54x = 1,845,065.91
  5. Step 5: Solve for x
    x = 1,845,065.91/868.54
  6. Step 6: Final answer
    x = 2,124.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.