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Finding the Third Proportional to 148,140 and 225,855.75

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Solution

The third proportional to 148,140 and 225,855.75 is: 344,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,140 : 225,855.75 = 225,855.75 : x
  2. Step 2: Convert to fraction form
    148,140/225,855.75 = 225,855.75/x
  3. Step 3: Cross multiply
    148,140x = 225,855.75 × 225,855.75
  4. Step 4: Simplify right side
    148,140x = 51,010,819,808.06
  5. Step 5: Solve for x
    x = 51,010,819,808.06/148,140
  6. Step 6: Final answer
    x = 344,341.97

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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.