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Finding the Third Proportional to 170,124 and 357,662

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Solution

The third proportional to 170,124 and 357,662 is: 751,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,124 : 357,662 = 357,662 : x
  2. Step 2: Convert to fraction form
    170,124/357,662 = 357,662/x
  3. Step 3: Cross multiply
    170,124x = 357,662 × 357,662
  4. Step 4: Simplify right side
    170,124x = 127,922,106,244
  5. Step 5: Solve for x
    x = 127,922,106,244/170,124
  6. Step 6: Final answer
    x = 751,934.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.