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Finding the Third Proportional to 312.75 and 358.13

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Solution

The third proportional to 312.75 and 358.13 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 358.13 = 358.13 : x
  2. Step 2: Convert to fraction form
    312.75/358.13 = 358.13/x
  3. Step 3: Cross multiply
    312.75x = 358.13 × 358.13
  4. Step 4: Simplify right side
    312.75x = 128,253.52
  5. Step 5: Solve for x
    x = 128,253.52/312.75
  6. Step 6: Final answer
    x = 410.08

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.