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Finding the Third Proportional to 170,210 and 366,052

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Solution

The third proportional to 170,210 and 366,052 is: 787,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,210 : 366,052 = 366,052 : x
  2. Step 2: Convert to fraction form
    170,210/366,052 = 366,052/x
  3. Step 3: Cross multiply
    170,210x = 366,052 × 366,052
  4. Step 4: Simplify right side
    170,210x = 133,994,066,704
  5. Step 5: Solve for x
    x = 133,994,066,704/170,210
  6. Step 6: Final answer
    x = 787,227.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.