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Finding the Third Proportional to 159,210 and 235,170

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Solution

The third proportional to 159,210 and 235,170 is: 347,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,210 : 235,170 = 235,170 : x
  2. Step 2: Convert to fraction form
    159,210/235,170 = 235,170/x
  3. Step 3: Cross multiply
    159,210x = 235,170 × 235,170
  4. Step 4: Simplify right side
    159,210x = 55,304,928,900
  5. Step 5: Solve for x
    x = 55,304,928,900/159,210
  6. Step 6: Final answer
    x = 347,370.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.