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Finding the Third Proportional to 95,284 and 208,340

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Solution

The third proportional to 95,284 and 208,340 is: 455,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,284 : 208,340 = 208,340 : x
  2. Step 2: Convert to fraction form
    95,284/208,340 = 208,340/x
  3. Step 3: Cross multiply
    95,284x = 208,340 × 208,340
  4. Step 4: Simplify right side
    95,284x = 43,405,555,600
  5. Step 5: Solve for x
    x = 43,405,555,600/95,284
  6. Step 6: Final answer
    x = 455,538.76

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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.