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Finding the Third Proportional to 115,297 and 248,381

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Solution

The third proportional to 115,297 and 248,381 is: 535,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,297 : 248,381 = 248,381 : x
  2. Step 2: Convert to fraction form
    115,297/248,381 = 248,381/x
  3. Step 3: Cross multiply
    115,297x = 248,381 × 248,381
  4. Step 4: Simplify right side
    115,297x = 61,693,121,161
  5. Step 5: Solve for x
    x = 61,693,121,161/115,297
  6. Step 6: Final answer
    x = 535,080.02

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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.