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Finding the Third Proportional to 148,995.38 and 326,145.75

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Solution

The third proportional to 148,995.38 and 326,145.75 is: 713,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,995.38 : 326,145.75 = 326,145.75 : x
  2. Step 2: Convert to fraction form
    148,995.38/326,145.75 = 326,145.75/x
  3. Step 3: Cross multiply
    148,995.38x = 326,145.75 × 326,145.75
  4. Step 4: Simplify right side
    148,995.38x = 106,371,050,243.06
  5. Step 5: Solve for x
    x = 106,371,050,243.06/148,995.38
  6. Step 6: Final answer
    x = 713,921.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.