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Finding the Third Proportional to 837.56 and 1,232.16

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Solution

The third proportional to 837.56 and 1,232.16 is: 1,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,232.16 = 1,232.16 : x
  2. Step 2: Convert to fraction form
    837.56/1,232.16 = 1,232.16/x
  3. Step 3: Cross multiply
    837.56x = 1,232.16 × 1,232.16
  4. Step 4: Simplify right side
    837.56x = 1,518,209.02
  5. Step 5: Solve for x
    x = 1,518,209.02/837.56
  6. Step 6: Final answer
    x = 1,812.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.