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Finding the Third Proportional to 246,076.50 and 380,002.50

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Solution

The third proportional to 246,076.50 and 380,002.50 is: 586,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,076.50 : 380,002.50 = 380,002.50 : x
  2. Step 2: Convert to fraction form
    246,076.50/380,002.50 = 380,002.50/x
  3. Step 3: Cross multiply
    246,076.50x = 380,002.50 × 380,002.50
  4. Step 4: Simplify right side
    246,076.50x = 144,401,900,006.25
  5. Step 5: Solve for x
    x = 144,401,900,006.25/246,076.50
  6. Step 6: Final answer
    x = 586,817.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.