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Finding the Third Proportional to 246,902 and 368,726

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Solution

The third proportional to 246,902 and 368,726 is: 550,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,902 : 368,726 = 368,726 : x
  2. Step 2: Convert to fraction form
    246,902/368,726 = 368,726/x
  3. Step 3: Cross multiply
    246,902x = 368,726 × 368,726
  4. Step 4: Simplify right side
    246,902x = 135,958,863,076
  5. Step 5: Solve for x
    x = 135,958,863,076/246,902
  6. Step 6: Final answer
    x = 550,659.22

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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.