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Finding the Third Proportional to 307.13 and 474.19

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Solution

The third proportional to 307.13 and 474.19 is: 732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 474.19 = 474.19 : x
  2. Step 2: Convert to fraction form
    307.13/474.19 = 474.19/x
  3. Step 3: Cross multiply
    307.13x = 474.19 × 474.19
  4. Step 4: Simplify right side
    307.13x = 224,853.79
  5. Step 5: Solve for x
    x = 224,853.79/307.13
  6. Step 6: Final answer
    x = 732.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.