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Finding the Third Proportional to 211,221 and 327,268.13

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Solution

The third proportional to 211,221 and 327,268.13 is: 507,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,221 : 327,268.13 = 327,268.13 : x
  2. Step 2: Convert to fraction form
    211,221/327,268.13 = 327,268.13/x
  3. Step 3: Cross multiply
    211,221x = 327,268.13 × 327,268.13
  4. Step 4: Simplify right side
    211,221x = 107,104,425,641.02
  5. Step 5: Solve for x
    x = 107,104,425,641.02/211,221
  6. Step 6: Final answer
    x = 507,072.81

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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.