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Finding the Third Proportional to 211,717.50 and 454,134

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Solution

The third proportional to 211,717.50 and 454,134 is: 974,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,717.50 : 454,134 = 454,134 : x
  2. Step 2: Convert to fraction form
    211,717.50/454,134 = 454,134/x
  3. Step 3: Cross multiply
    211,717.50x = 454,134 × 454,134
  4. Step 4: Simplify right side
    211,717.50x = 206,237,689,956
  5. Step 5: Solve for x
    x = 206,237,689,956/211,717.50
  6. Step 6: Final answer
    x = 974,117.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.