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Finding the Third Proportional to 214,788.75 and 424,152.75

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Solution

The third proportional to 214,788.75 and 424,152.75 is: 837,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,788.75 : 424,152.75 = 424,152.75 : x
  2. Step 2: Convert to fraction form
    214,788.75/424,152.75 = 424,152.75/x
  3. Step 3: Cross multiply
    214,788.75x = 424,152.75 × 424,152.75
  4. Step 4: Simplify right side
    214,788.75x = 179,905,555,332.56
  5. Step 5: Solve for x
    x = 179,905,555,332.56/214,788.75
  6. Step 6: Final answer
    x = 837,593.01

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.