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Finding the Third Proportional to 106,660 and 226,437.50

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Solution

The third proportional to 106,660 and 226,437.50 is: 480,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,660 : 226,437.50 = 226,437.50 : x
  2. Step 2: Convert to fraction form
    106,660/226,437.50 = 226,437.50/x
  3. Step 3: Cross multiply
    106,660x = 226,437.50 × 226,437.50
  4. Step 4: Simplify right side
    106,660x = 51,273,941,406.25
  5. Step 5: Solve for x
    x = 51,273,941,406.25/106,660
  6. Step 6: Final answer
    x = 480,723.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.