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Finding the Third Proportional to 132,744 and 313,248

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Solution

The third proportional to 132,744 and 313,248 is: 739,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744 : 313,248 = 313,248 : x
  2. Step 2: Convert to fraction form
    132,744/313,248 = 313,248/x
  3. Step 3: Cross multiply
    132,744x = 313,248 × 313,248
  4. Step 4: Simplify right side
    132,744x = 98,124,309,504
  5. Step 5: Solve for x
    x = 98,124,309,504/132,744
  6. Step 6: Final answer
    x = 739,199.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.