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Finding the Third Proportional to 234,328 and 363,144

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Solution

The third proportional to 234,328 and 363,144 is: 562,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,328 : 363,144 = 363,144 : x
  2. Step 2: Convert to fraction form
    234,328/363,144 = 363,144/x
  3. Step 3: Cross multiply
    234,328x = 363,144 × 363,144
  4. Step 4: Simplify right side
    234,328x = 131,873,564,736
  5. Step 5: Solve for x
    x = 131,873,564,736/234,328
  6. Step 6: Final answer
    x = 562,773.40

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