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Finding the Third Proportional to 218,453 and 295,143.50

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Solution

The third proportional to 218,453 and 295,143.50 is: 398,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,453 : 295,143.50 = 295,143.50 : x
  2. Step 2: Convert to fraction form
    218,453/295,143.50 = 295,143.50/x
  3. Step 3: Cross multiply
    218,453x = 295,143.50 × 295,143.50
  4. Step 4: Simplify right side
    218,453x = 87,109,685,592.25
  5. Step 5: Solve for x
    x = 87,109,685,592.25/218,453
  6. Step 6: Final answer
    x = 398,757.10

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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.