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Finding the Third Proportional to 203,581.13 and 299,443.50

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Solution

The third proportional to 203,581.13 and 299,443.50 is: 440,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,581.13 : 299,443.50 = 299,443.50 : x
  2. Step 2: Convert to fraction form
    203,581.13/299,443.50 = 299,443.50/x
  3. Step 3: Cross multiply
    203,581.13x = 299,443.50 × 299,443.50
  4. Step 4: Simplify right side
    203,581.13x = 89,666,409,692.25
  5. Step 5: Solve for x
    x = 89,666,409,692.25/203,581.13
  6. Step 6: Final answer
    x = 440,445.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.