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Finding the Third Proportional to 302.81 and 455.16

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Solution

The third proportional to 302.81 and 455.16 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 455.16 = 455.16 : x
  2. Step 2: Convert to fraction form
    302.81/455.16 = 455.16/x
  3. Step 3: Cross multiply
    302.81x = 455.16 × 455.16
  4. Step 4: Simplify right side
    302.81x = 207,167.21
  5. Step 5: Solve for x
    x = 207,167.21/302.81
  6. Step 6: Final answer
    x = 684.14

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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.