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Finding the Third Proportional to 136,092 and 288,656

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Solution

The third proportional to 136,092 and 288,656 is: 612,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,092 : 288,656 = 288,656 : x
  2. Step 2: Convert to fraction form
    136,092/288,656 = 288,656/x
  3. Step 3: Cross multiply
    136,092x = 288,656 × 288,656
  4. Step 4: Simplify right side
    136,092x = 83,322,286,336
  5. Step 5: Solve for x
    x = 83,322,286,336/136,092
  6. Step 6: Final answer
    x = 612,249.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.