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Finding the Third Proportional to 211,258.13 and 327,624.75

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Solution

The third proportional to 211,258.13 and 327,624.75 is: 508,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258.13 : 327,624.75 = 327,624.75 : x
  2. Step 2: Convert to fraction form
    211,258.13/327,624.75 = 327,624.75/x
  3. Step 3: Cross multiply
    211,258.13x = 327,624.75 × 327,624.75
  4. Step 4: Simplify right side
    211,258.13x = 107,337,976,812.56
  5. Step 5: Solve for x
    x = 107,337,976,812.56/211,258.13
  6. Step 6: Final answer
    x = 508,089.22

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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.