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Finding the Third Proportional to 135,718 and 268,029.75

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Solution

The third proportional to 135,718 and 268,029.75 is: 529,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,718 : 268,029.75 = 268,029.75 : x
  2. Step 2: Convert to fraction form
    135,718/268,029.75 = 268,029.75/x
  3. Step 3: Cross multiply
    135,718x = 268,029.75 × 268,029.75
  4. Step 4: Simplify right side
    135,718x = 71,839,946,885.06
  5. Step 5: Solve for x
    x = 71,839,946,885.06/135,718
  6. Step 6: Final answer
    x = 529,332.49

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.