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Finding the Third Proportional to 203,209.13 and 301,869.56

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Solution

The third proportional to 203,209.13 and 301,869.56 is: 448,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,209.13 : 301,869.56 = 301,869.56 : x
  2. Step 2: Convert to fraction form
    203,209.13/301,869.56 = 301,869.56/x
  3. Step 3: Cross multiply
    203,209.13x = 301,869.56 × 301,869.56
  4. Step 4: Simplify right side
    203,209.13x = 91,125,232,763.94
  5. Step 5: Solve for x
    x = 91,125,232,763.94/203,209.13
  6. Step 6: Final answer
    x = 448,430.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.