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Finding the Third Proportional to 211,714.88 and 454,128.75

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Solution

The third proportional to 211,714.88 and 454,128.75 is: 974,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,714.88 : 454,128.75 = 454,128.75 : x
  2. Step 2: Convert to fraction form
    211,714.88/454,128.75 = 454,128.75/x
  3. Step 3: Cross multiply
    211,714.88x = 454,128.75 × 454,128.75
  4. Step 4: Simplify right side
    211,714.88x = 206,232,921,576.56
  5. Step 5: Solve for x
    x = 206,232,921,576.56/211,714.88
  6. Step 6: Final answer
    x = 974,106.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.