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Finding the Third Proportional to 148,009.50 and 225,698.25

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Solution

The third proportional to 148,009.50 and 225,698.25 is: 344,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,009.50 : 225,698.25 = 225,698.25 : x
  2. Step 2: Convert to fraction form
    148,009.50/225,698.25 = 225,698.25/x
  3. Step 3: Cross multiply
    148,009.50x = 225,698.25 × 225,698.25
  4. Step 4: Simplify right side
    148,009.50x = 50,939,700,053.06
  5. Step 5: Solve for x
    x = 50,939,700,053.06/148,009.50
  6. Step 6: Final answer
    x = 344,165.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.