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Finding the Third Proportional to 243,091 and 367,989

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Solution

The third proportional to 243,091 and 367,989 is: 557,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,091 : 367,989 = 367,989 : x
  2. Step 2: Convert to fraction form
    243,091/367,989 = 367,989/x
  3. Step 3: Cross multiply
    243,091x = 367,989 × 367,989
  4. Step 4: Simplify right side
    243,091x = 135,415,904,121
  5. Step 5: Solve for x
    x = 135,415,904,121/243,091
  6. Step 6: Final answer
    x = 557,058.48

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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.