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Finding the Third Proportional to 135,584 and 316,728

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Solution

The third proportional to 135,584 and 316,728 is: 739,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,584 : 316,728 = 316,728 : x
  2. Step 2: Convert to fraction form
    135,584/316,728 = 316,728/x
  3. Step 3: Cross multiply
    135,584x = 316,728 × 316,728
  4. Step 4: Simplify right side
    135,584x = 100,316,625,984
  5. Step 5: Solve for x
    x = 100,316,625,984/135,584
  6. Step 6: Final answer
    x = 739,885.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.