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Finding the Third Proportional to 234,424.13 and 363,220.03

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Solution

The third proportional to 234,424.13 and 363,220.03 is: 562,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,424.13 : 363,220.03 = 363,220.03 : x
  2. Step 2: Convert to fraction form
    234,424.13/363,220.03 = 363,220.03/x
  3. Step 3: Cross multiply
    234,424.13x = 363,220.03 × 363,220.03
  4. Step 4: Simplify right side
    234,424.13x = 131,928,791,101.25
  5. Step 5: Solve for x
    x = 131,928,791,101.25/234,424.13
  6. Step 6: Final answer
    x = 562,778.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.