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Finding the Third Proportional to 302.34 and 633.66

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Solution

The third proportional to 302.34 and 633.66 is: 1,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 633.66 = 633.66 : x
  2. Step 2: Convert to fraction form
    302.34/633.66 = 633.66/x
  3. Step 3: Cross multiply
    302.34x = 633.66 × 633.66
  4. Step 4: Simplify right side
    302.34x = 401,520.24
  5. Step 5: Solve for x
    x = 401,520.24/302.34
  6. Step 6: Final answer
    x = 1,328.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.