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Finding the Third Proportional to 135,944 and 296,464

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Solution

The third proportional to 135,944 and 296,464 is: 646,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,944 : 296,464 = 296,464 : x
  2. Step 2: Convert to fraction form
    135,944/296,464 = 296,464/x
  3. Step 3: Cross multiply
    135,944x = 296,464 × 296,464
  4. Step 4: Simplify right side
    135,944x = 87,890,903,296
  5. Step 5: Solve for x
    x = 87,890,903,296/135,944
  6. Step 6: Final answer
    x = 646,522.86

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Why These Related Problems?

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