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Finding the Third Proportional to 106,495 and 227,197.50

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Solution

The third proportional to 106,495 and 227,197.50 is: 484,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,495 : 227,197.50 = 227,197.50 : x
  2. Step 2: Convert to fraction form
    106,495/227,197.50 = 227,197.50/x
  3. Step 3: Cross multiply
    106,495x = 227,197.50 × 227,197.50
  4. Step 4: Simplify right side
    106,495x = 51,618,704,006.25
  5. Step 5: Solve for x
    x = 51,618,704,006.25/106,495
  6. Step 6: Final answer
    x = 484,705.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.