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Finding the Third Proportional to 142.03 and 244.13

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Solution

The third proportional to 142.03 and 244.13 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.03 : 244.13 = 244.13 : x
  2. Step 2: Convert to fraction form
    142.03/244.13 = 244.13/x
  3. Step 3: Cross multiply
    142.03x = 244.13 × 244.13
  4. Step 4: Simplify right side
    142.03x = 59,597.02
  5. Step 5: Solve for x
    x = 59,597.02/142.03
  6. Step 6: Final answer
    x = 419.60

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.