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Finding the Third Proportional to 211,726 and 454,154

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Solution

The third proportional to 211,726 and 454,154 is: 974,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,726 : 454,154 = 454,154 : x
  2. Step 2: Convert to fraction form
    211,726/454,154 = 454,154/x
  3. Step 3: Cross multiply
    211,726x = 454,154 × 454,154
  4. Step 4: Simplify right side
    211,726x = 206,255,855,716
  5. Step 5: Solve for x
    x = 206,255,855,716/211,726
  6. Step 6: Final answer
    x = 974,164.04

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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.