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Finding the Third Proportional to 218.50 and 461.13

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Solution

The third proportional to 218.50 and 461.13 is: 973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 461.13 = 461.13 : x
  2. Step 2: Convert to fraction form
    218.50/461.13 = 461.13/x
  3. Step 3: Cross multiply
    218.50x = 461.13 × 461.13
  4. Step 4: Simplify right side
    218.50x = 212,636.27
  5. Step 5: Solve for x
    x = 212,636.27/218.50
  6. Step 6: Final answer
    x = 973.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.