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Finding the Third Proportional to 246,023 and 367,753

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Solution

The third proportional to 246,023 and 367,753 is: 549,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,023 : 367,753 = 367,753 : x
  2. Step 2: Convert to fraction form
    246,023/367,753 = 367,753/x
  3. Step 3: Cross multiply
    246,023x = 367,753 × 367,753
  4. Step 4: Simplify right side
    246,023x = 135,242,269,009
  5. Step 5: Solve for x
    x = 135,242,269,009/246,023
  6. Step 6: Final answer
    x = 549,713.93

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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.