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Finding the Third Proportional to 148,595 and 223,597

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Solution

The third proportional to 148,595 and 223,597 is: 336,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,595 : 223,597 = 223,597 : x
  2. Step 2: Convert to fraction form
    148,595/223,597 = 223,597/x
  3. Step 3: Cross multiply
    148,595x = 223,597 × 223,597
  4. Step 4: Simplify right side
    148,595x = 49,995,618,409
  5. Step 5: Solve for x
    x = 49,995,618,409/148,595
  6. Step 6: Final answer
    x = 336,455.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.