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Finding the Third Proportional to 115,281 and 248,346

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Solution

The third proportional to 115,281 and 248,346 is: 535,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,281 : 248,346 = 248,346 : x
  2. Step 2: Convert to fraction form
    115,281/248,346 = 248,346/x
  3. Step 3: Cross multiply
    115,281x = 248,346 × 248,346
  4. Step 4: Simplify right side
    115,281x = 61,675,735,716
  5. Step 5: Solve for x
    x = 61,675,735,716/115,281
  6. Step 6: Final answer
    x = 535,003.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.