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Finding the Third Proportional to 113,768 and 243,984

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Solution

The third proportional to 113,768 and 243,984 is: 523,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,768 : 243,984 = 243,984 : x
  2. Step 2: Convert to fraction form
    113,768/243,984 = 243,984/x
  3. Step 3: Cross multiply
    113,768x = 243,984 × 243,984
  4. Step 4: Simplify right side
    113,768x = 59,528,192,256
  5. Step 5: Solve for x
    x = 59,528,192,256/113,768
  6. Step 6: Final answer
    x = 523,241.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.