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Finding the Third Proportional to 243,092 and 367,991

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Solution

The third proportional to 243,092 and 367,991 is: 557,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,092 : 367,991 = 367,991 : x
  2. Step 2: Convert to fraction form
    243,092/367,991 = 367,991/x
  3. Step 3: Cross multiply
    243,092x = 367,991 × 367,991
  4. Step 4: Simplify right side
    243,092x = 135,417,376,081
  5. Step 5: Solve for x
    x = 135,417,376,081/243,092
  6. Step 6: Final answer
    x = 557,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.