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Finding the Third Proportional to 211,734 and 454,164

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Solution

The third proportional to 211,734 and 454,164 is: 974,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,734 : 454,164 = 454,164 : x
  2. Step 2: Convert to fraction form
    211,734/454,164 = 454,164/x
  3. Step 3: Cross multiply
    211,734x = 454,164 × 454,164
  4. Step 4: Simplify right side
    211,734x = 206,264,938,896
  5. Step 5: Solve for x
    x = 206,264,938,896/211,734
  6. Step 6: Final answer
    x = 974,170.13

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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.