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Finding the Third Proportional to 170,210 and 362,803

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Solution

The third proportional to 170,210 and 362,803 is: 773,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,210 : 362,803 = 362,803 : x
  2. Step 2: Convert to fraction form
    170,210/362,803 = 362,803/x
  3. Step 3: Cross multiply
    170,210x = 362,803 × 362,803
  4. Step 4: Simplify right side
    170,210x = 131,626,016,809
  5. Step 5: Solve for x
    x = 131,626,016,809/170,210
  6. Step 6: Final answer
    x = 773,315.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.