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Finding the Third Proportional to 302.88 and 453.13

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Solution

The third proportional to 302.88 and 453.13 is: 677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 453.13 = 453.13 : x
  2. Step 2: Convert to fraction form
    302.88/453.13 = 453.13/x
  3. Step 3: Cross multiply
    302.88x = 453.13 × 453.13
  4. Step 4: Simplify right side
    302.88x = 205,322.27
  5. Step 5: Solve for x
    x = 205,322.27/302.88
  6. Step 6: Final answer
    x = 677.91

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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.