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Finding the Third Proportional to 238,551 and 322,834.50

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Solution

The third proportional to 238,551 and 322,834.50 is: 436,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,551 : 322,834.50 = 322,834.50 : x
  2. Step 2: Convert to fraction form
    238,551/322,834.50 = 322,834.50/x
  3. Step 3: Cross multiply
    238,551x = 322,834.50 × 322,834.50
  4. Step 4: Simplify right side
    238,551x = 104,222,114,390.25
  5. Step 5: Solve for x
    x = 104,222,114,390.25/238,551
  6. Step 6: Final answer
    x = 436,896.57

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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.