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Finding the Third Proportional to 170,202 and 362,760

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Solution

The third proportional to 170,202 and 362,760 is: 773,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,202 : 362,760 = 362,760 : x
  2. Step 2: Convert to fraction form
    170,202/362,760 = 362,760/x
  3. Step 3: Cross multiply
    170,202x = 362,760 × 362,760
  4. Step 4: Simplify right side
    170,202x = 131,594,817,600
  5. Step 5: Solve for x
    x = 131,594,817,600/170,202
  6. Step 6: Final answer
    x = 773,168.46

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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.