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Finding the Third Proportional to 212,076.75 and 457,357.50

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Solution

The third proportional to 212,076.75 and 457,357.50 is: 986,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076.75 : 457,357.50 = 457,357.50 : x
  2. Step 2: Convert to fraction form
    212,076.75/457,357.50 = 457,357.50/x
  3. Step 3: Cross multiply
    212,076.75x = 457,357.50 × 457,357.50
  4. Step 4: Simplify right side
    212,076.75x = 209,175,882,806.25
  5. Step 5: Solve for x
    x = 209,175,882,806.25/212,076.75
  6. Step 6: Final answer
    x = 986,321.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.