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Finding the Third Proportional to 211,231.13 and 326,872.13

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Solution

The third proportional to 211,231.13 and 326,872.13 is: 505,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,231.13 : 326,872.13 = 326,872.13 : x
  2. Step 2: Convert to fraction form
    211,231.13/326,872.13 = 326,872.13/x
  3. Step 3: Cross multiply
    211,231.13x = 326,872.13 × 326,872.13
  4. Step 4: Simplify right side
    211,231.13x = 106,845,386,102.02
  5. Step 5: Solve for x
    x = 106,845,386,102.02/211,231.13
  6. Step 6: Final answer
    x = 505,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.