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Finding the Third Proportional to 136,034 and 298,324

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Solution

The third proportional to 136,034 and 298,324 is: 654,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,034 : 298,324 = 298,324 : x
  2. Step 2: Convert to fraction form
    136,034/298,324 = 298,324/x
  3. Step 3: Cross multiply
    136,034x = 298,324 × 298,324
  4. Step 4: Simplify right side
    136,034x = 88,997,208,976
  5. Step 5: Solve for x
    x = 88,997,208,976/136,034
  6. Step 6: Final answer
    x = 654,227.69

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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.