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Finding the Third Proportional to 112,693 and 236,322

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Solution

The third proportional to 112,693 and 236,322 is: 495,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,693 : 236,322 = 236,322 : x
  2. Step 2: Convert to fraction form
    112,693/236,322 = 236,322/x
  3. Step 3: Cross multiply
    112,693x = 236,322 × 236,322
  4. Step 4: Simplify right side
    112,693x = 55,848,087,684
  5. Step 5: Solve for x
    x = 55,848,087,684/112,693
  6. Step 6: Final answer
    x = 495,577.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.