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Finding the Third Proportional to 1,230.19 and 2,050.31

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Solution

The third proportional to 1,230.19 and 2,050.31 is: 3,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.19 : 2,050.31 = 2,050.31 : x
  2. Step 2: Convert to fraction form
    1,230.19/2,050.31 = 2,050.31/x
  3. Step 3: Cross multiply
    1,230.19x = 2,050.31 × 2,050.31
  4. Step 4: Simplify right side
    1,230.19x = 4,203,781.35
  5. Step 5: Solve for x
    x = 4,203,781.35/1,230.19
  6. Step 6: Final answer
    x = 3,417.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.