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Finding the Third Proportional to 898.13 and 1,348.13

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Solution

The third proportional to 898.13 and 1,348.13 is: 2,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,348.13 = 1,348.13 : x
  2. Step 2: Convert to fraction form
    898.13/1,348.13 = 1,348.13/x
  3. Step 3: Cross multiply
    898.13x = 1,348.13 × 1,348.13
  4. Step 4: Simplify right side
    898.13x = 1,817,441.02
  5. Step 5: Solve for x
    x = 1,817,441.02/898.13
  6. Step 6: Final answer
    x = 2,023.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.