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Finding the Third Proportional to 149,698.50 and 226,101

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Solution

The third proportional to 149,698.50 and 226,101 is: 341,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698.50 : 226,101 = 226,101 : x
  2. Step 2: Convert to fraction form
    149,698.50/226,101 = 226,101/x
  3. Step 3: Cross multiply
    149,698.50x = 226,101 × 226,101
  4. Step 4: Simplify right side
    149,698.50x = 51,121,662,201
  5. Step 5: Solve for x
    x = 51,121,662,201/149,698.50
  6. Step 6: Final answer
    x = 341,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.