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Finding the Third Proportional to 142.13 and 304.13

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Solution

The third proportional to 142.13 and 304.13 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 304.13 = 304.13 : x
  2. Step 2: Convert to fraction form
    142.13/304.13 = 304.13/x
  3. Step 3: Cross multiply
    142.13x = 304.13 × 304.13
  4. Step 4: Simplify right side
    142.13x = 92,492.02
  5. Step 5: Solve for x
    x = 92,492.02/142.13
  6. Step 6: Final answer
    x = 650.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.