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Finding the Third Proportional to 117,380 and 253,468

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Solution

The third proportional to 117,380 and 253,468 is: 547,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,380 : 253,468 = 253,468 : x
  2. Step 2: Convert to fraction form
    117,380/253,468 = 253,468/x
  3. Step 3: Cross multiply
    117,380x = 253,468 × 253,468
  4. Step 4: Simplify right side
    117,380x = 64,246,027,024
  5. Step 5: Solve for x
    x = 64,246,027,024/117,380
  6. Step 6: Final answer
    x = 547,333.68

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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.