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Finding the Third Proportional to 135,222.75 and 313,031.25

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Solution

The third proportional to 135,222.75 and 313,031.25 is: 724,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,222.75 : 313,031.25 = 313,031.25 : x
  2. Step 2: Convert to fraction form
    135,222.75/313,031.25 = 313,031.25/x
  3. Step 3: Cross multiply
    135,222.75x = 313,031.25 × 313,031.25
  4. Step 4: Simplify right side
    135,222.75x = 97,988,563,476.56
  5. Step 5: Solve for x
    x = 97,988,563,476.56/135,222.75
  6. Step 6: Final answer
    x = 724,645.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.