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Finding the Third Proportional to 370.50 and 652.13

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Solution

The third proportional to 370.50 and 652.13 is: 1,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 652.13 = 652.13 : x
  2. Step 2: Convert to fraction form
    370.50/652.13 = 652.13/x
  3. Step 3: Cross multiply
    370.50x = 652.13 × 652.13
  4. Step 4: Simplify right side
    370.50x = 425,267.02
  5. Step 5: Solve for x
    x = 425,267.02/370.50
  6. Step 6: Final answer
    x = 1,147.82

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.