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Finding the Third Proportional to 243,064 and 367,956

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Solution

The third proportional to 243,064 and 367,956 is: 557,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,064 : 367,956 = 367,956 : x
  2. Step 2: Convert to fraction form
    243,064/367,956 = 367,956/x
  3. Step 3: Cross multiply
    243,064x = 367,956 × 367,956
  4. Step 4: Simplify right side
    243,064x = 135,391,617,936
  5. Step 5: Solve for x
    x = 135,391,617,936/243,064
  6. Step 6: Final answer
    x = 557,020.45

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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.