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Finding the Third Proportional to 135,894 and 296,472

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Solution

The third proportional to 135,894 and 296,472 is: 646,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,894 : 296,472 = 296,472 : x
  2. Step 2: Convert to fraction form
    135,894/296,472 = 296,472/x
  3. Step 3: Cross multiply
    135,894x = 296,472 × 296,472
  4. Step 4: Simplify right side
    135,894x = 87,895,646,784
  5. Step 5: Solve for x
    x = 87,895,646,784/135,894
  6. Step 6: Final answer
    x = 646,795.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.