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Finding the Third Proportional to 148,533.38 and 309,306.75

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Solution

The third proportional to 148,533.38 and 309,306.75 is: 644,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.38 : 309,306.75 = 309,306.75 : x
  2. Step 2: Convert to fraction form
    148,533.38/309,306.75 = 309,306.75/x
  3. Step 3: Cross multiply
    148,533.38x = 309,306.75 × 309,306.75
  4. Step 4: Simplify right side
    148,533.38x = 95,670,665,595.56
  5. Step 5: Solve for x
    x = 95,670,665,595.56/148,533.38
  6. Step 6: Final answer
    x = 644,102.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.