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Finding the Third Proportional to 163,151 and 335,086

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Solution

The third proportional to 163,151 and 335,086 is: 688,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,151 : 335,086 = 335,086 : x
  2. Step 2: Convert to fraction form
    163,151/335,086 = 335,086/x
  3. Step 3: Cross multiply
    163,151x = 335,086 × 335,086
  4. Step 4: Simplify right side
    163,151x = 112,282,627,396
  5. Step 5: Solve for x
    x = 112,282,627,396/163,151
  6. Step 6: Final answer
    x = 688,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.