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Finding the Third Proportional to 193,742 and 260,358

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Solution

The third proportional to 193,742 and 260,358 is: 349,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,742 : 260,358 = 260,358 : x
  2. Step 2: Convert to fraction form
    193,742/260,358 = 260,358/x
  3. Step 3: Cross multiply
    193,742x = 260,358 × 260,358
  4. Step 4: Simplify right side
    193,742x = 67,786,288,164
  5. Step 5: Solve for x
    x = 67,786,288,164/193,742
  6. Step 6: Final answer
    x = 349,879.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.