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Finding the Third Proportional to 302.74 and 562.23

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Solution

The third proportional to 302.74 and 562.23 is: 1,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 562.23 = 562.23 : x
  2. Step 2: Convert to fraction form
    302.74/562.23 = 562.23/x
  3. Step 3: Cross multiply
    302.74x = 562.23 × 562.23
  4. Step 4: Simplify right side
    302.74x = 316,107.22
  5. Step 5: Solve for x
    x = 316,107.22/302.74
  6. Step 6: Final answer
    x = 1,044.15

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.