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Finding the Third Proportional to 223,002 and 344,337.75

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Solution

The third proportional to 223,002 and 344,337.75 is: 531,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,002 : 344,337.75 = 344,337.75 : x
  2. Step 2: Convert to fraction form
    223,002/344,337.75 = 344,337.75/x
  3. Step 3: Cross multiply
    223,002x = 344,337.75 × 344,337.75
  4. Step 4: Simplify right side
    223,002x = 118,568,486,075.06
  5. Step 5: Solve for x
    x = 118,568,486,075.06/223,002
  6. Step 6: Final answer
    x = 531,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.