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Finding the Third Proportional to 212,092.25 and 454,544.88

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Solution

The third proportional to 212,092.25 and 454,544.88 is: 974,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,092.25 : 454,544.88 = 454,544.88 : x
  2. Step 2: Convert to fraction form
    212,092.25/454,544.88 = 454,544.88/x
  3. Step 3: Cross multiply
    212,092.25x = 454,544.88 × 454,544.88
  4. Step 4: Simplify right side
    212,092.25x = 206,611,043,388.77
  5. Step 5: Solve for x
    x = 206,611,043,388.77/212,092.25
  6. Step 6: Final answer
    x = 974,156.50

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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.