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Finding the Third Proportional to 218,454 and 295,144

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Solution

The third proportional to 218,454 and 295,144 is: 398,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,454 : 295,144 = 295,144 : x
  2. Step 2: Convert to fraction form
    218,454/295,144 = 295,144/x
  3. Step 3: Cross multiply
    218,454x = 295,144 × 295,144
  4. Step 4: Simplify right side
    218,454x = 87,109,980,736
  5. Step 5: Solve for x
    x = 87,109,980,736/218,454
  6. Step 6: Final answer
    x = 398,756.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.