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Finding the Third Proportional to 243,072 and 367,966

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Solution

The third proportional to 243,072 and 367,966 is: 557,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,072 : 367,966 = 367,966 : x
  2. Step 2: Convert to fraction form
    243,072/367,966 = 367,966/x
  3. Step 3: Cross multiply
    243,072x = 367,966 × 367,966
  4. Step 4: Simplify right side
    243,072x = 135,398,977,156
  5. Step 5: Solve for x
    x = 135,398,977,156/243,072
  6. Step 6: Final answer
    x = 557,032.39

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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.