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Finding the Third Proportional to 342,150 and 500,224.50

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Solution

The third proportional to 342,150 and 500,224.50 is: 731,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,150 : 500,224.50 = 500,224.50 : x
  2. Step 2: Convert to fraction form
    342,150/500,224.50 = 500,224.50/x
  3. Step 3: Cross multiply
    342,150x = 500,224.50 × 500,224.50
  4. Step 4: Simplify right side
    342,150x = 250,224,550,400.25
  5. Step 5: Solve for x
    x = 250,224,550,400.25/342,150
  6. Step 6: Final answer
    x = 731,329.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.