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Finding the Third Proportional to 243,096 and 367,997

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Solution

The third proportional to 243,096 and 367,997 is: 557,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,096 : 367,997 = 367,997 : x
  2. Step 2: Convert to fraction form
    243,096/367,997 = 367,997/x
  3. Step 3: Cross multiply
    243,096x = 367,997 × 367,997
  4. Step 4: Simplify right side
    243,096x = 135,421,792,009
  5. Step 5: Solve for x
    x = 135,421,792,009/243,096
  6. Step 6: Final answer
    x = 557,071.25

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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.