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Finding the Third Proportional to 215,156.25 and 454,936.50

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Solution

The third proportional to 215,156.25 and 454,936.50 is: 961,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,156.25 : 454,936.50 = 454,936.50 : x
  2. Step 2: Convert to fraction form
    215,156.25/454,936.50 = 454,936.50/x
  3. Step 3: Cross multiply
    215,156.25x = 454,936.50 × 454,936.50
  4. Step 4: Simplify right side
    215,156.25x = 206,967,219,032.25
  5. Step 5: Solve for x
    x = 206,967,219,032.25/215,156.25
  6. Step 6: Final answer
    x = 961,939.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.