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Finding the Third Proportional to 246,016 and 367,125.50

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Solution

The third proportional to 246,016 and 367,125.50 is: 547,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,016 : 367,125.50 = 367,125.50 : x
  2. Step 2: Convert to fraction form
    246,016/367,125.50 = 367,125.50/x
  3. Step 3: Cross multiply
    246,016x = 367,125.50 × 367,125.50
  4. Step 4: Simplify right side
    246,016x = 134,781,132,750.25
  5. Step 5: Solve for x
    x = 134,781,132,750.25/246,016
  6. Step 6: Final answer
    x = 547,855.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.