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Finding the Third Proportional to 106,620 and 226,360.50

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Solution

The third proportional to 106,620 and 226,360.50 is: 480,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,620 : 226,360.50 = 226,360.50 : x
  2. Step 2: Convert to fraction form
    106,620/226,360.50 = 226,360.50/x
  3. Step 3: Cross multiply
    106,620x = 226,360.50 × 226,360.50
  4. Step 4: Simplify right side
    106,620x = 51,239,075,960.25
  5. Step 5: Solve for x
    x = 51,239,075,960.25/106,620
  6. Step 6: Final answer
    x = 480,576.59

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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.