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Finding the Third Proportional to 219 and 460.13

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Solution

The third proportional to 219 and 460.13 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 460.13 = 460.13 : x
  2. Step 2: Convert to fraction form
    219/460.13 = 460.13/x
  3. Step 3: Cross multiply
    219x = 460.13 × 460.13
  4. Step 4: Simplify right side
    219x = 211,715.02
  5. Step 5: Solve for x
    x = 211,715.02/219
  6. Step 6: Final answer
    x = 966.74

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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.