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Finding the Third Proportional to 148,750 and 326,888

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Solution

The third proportional to 148,750 and 326,888 is: 718,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,750 : 326,888 = 326,888 : x
  2. Step 2: Convert to fraction form
    148,750/326,888 = 326,888/x
  3. Step 3: Cross multiply
    148,750x = 326,888 × 326,888
  4. Step 4: Simplify right side
    148,750x = 106,855,764,544
  5. Step 5: Solve for x
    x = 106,855,764,544/148,750
  6. Step 6: Final answer
    x = 718,358.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.