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Finding the Third Proportional to 234,344 and 363,168

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Solution

The third proportional to 234,344 and 363,168 is: 562,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,344 : 363,168 = 363,168 : x
  2. Step 2: Convert to fraction form
    234,344/363,168 = 363,168/x
  3. Step 3: Cross multiply
    234,344x = 363,168 × 363,168
  4. Step 4: Simplify right side
    234,344x = 131,890,996,224
  5. Step 5: Solve for x
    x = 131,890,996,224/234,344
  6. Step 6: Final answer
    x = 562,809.36

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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.