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Finding the Third Proportional to 246,415.50 and 272,335.50

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Solution

The third proportional to 246,415.50 and 272,335.50 is: 300,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,415.50 : 272,335.50 = 272,335.50 : x
  2. Step 2: Convert to fraction form
    246,415.50/272,335.50 = 272,335.50/x
  3. Step 3: Cross multiply
    246,415.50x = 272,335.50 × 272,335.50
  4. Step 4: Simplify right side
    246,415.50x = 74,166,624,560.25
  5. Step 5: Solve for x
    x = 74,166,624,560.25/246,415.50
  6. Step 6: Final answer
    x = 300,981.98

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.