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Finding the Third Proportional to 115,048 and 248,600

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Solution

The third proportional to 115,048 and 248,600 is: 537,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,048 : 248,600 = 248,600 : x
  2. Step 2: Convert to fraction form
    115,048/248,600 = 248,600/x
  3. Step 3: Cross multiply
    115,048x = 248,600 × 248,600
  4. Step 4: Simplify right side
    115,048x = 61,801,960,000
  5. Step 5: Solve for x
    x = 61,801,960,000/115,048
  6. Step 6: Final answer
    x = 537,184.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.