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Finding the Third Proportional to 136,035 and 298,326

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Solution

The third proportional to 136,035 and 298,326 is: 654,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,035 : 298,326 = 298,326 : x
  2. Step 2: Convert to fraction form
    136,035/298,326 = 298,326/x
  3. Step 3: Cross multiply
    136,035x = 298,326 × 298,326
  4. Step 4: Simplify right side
    136,035x = 88,998,402,276
  5. Step 5: Solve for x
    x = 88,998,402,276/136,035
  6. Step 6: Final answer
    x = 654,231.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.