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Finding the Third Proportional to 268,153.50 and 426,834

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Solution

The third proportional to 268,153.50 and 426,834 is: 679,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,153.50 : 426,834 = 426,834 : x
  2. Step 2: Convert to fraction form
    268,153.50/426,834 = 426,834/x
  3. Step 3: Cross multiply
    268,153.50x = 426,834 × 426,834
  4. Step 4: Simplify right side
    268,153.50x = 182,187,263,556
  5. Step 5: Solve for x
    x = 182,187,263,556/268,153.50
  6. Step 6: Final answer
    x = 679,414.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.