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Finding the Third Proportional to 117,084 and 253,853

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Solution

The third proportional to 117,084 and 253,853 is: 550,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,084 : 253,853 = 253,853 : x
  2. Step 2: Convert to fraction form
    117,084/253,853 = 253,853/x
  3. Step 3: Cross multiply
    117,084x = 253,853 × 253,853
  4. Step 4: Simplify right side
    117,084x = 64,441,345,609
  5. Step 5: Solve for x
    x = 64,441,345,609/117,084
  6. Step 6: Final answer
    x = 550,385.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.