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Finding the Third Proportional to 171,321 and 272,821.50

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Solution

The third proportional to 171,321 and 272,821.50 is: 434,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,321 : 272,821.50 = 272,821.50 : x
  2. Step 2: Convert to fraction form
    171,321/272,821.50 = 272,821.50/x
  3. Step 3: Cross multiply
    171,321x = 272,821.50 × 272,821.50
  4. Step 4: Simplify right side
    171,321x = 74,431,570,862.25
  5. Step 5: Solve for x
    x = 74,431,570,862.25/171,321
  6. Step 6: Final answer
    x = 434,456.78

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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.