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Finding the Third Proportional to 159,626 and 238,052

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Solution

The third proportional to 159,626 and 238,052 is: 355,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,626 : 238,052 = 238,052 : x
  2. Step 2: Convert to fraction form
    159,626/238,052 = 238,052/x
  3. Step 3: Cross multiply
    159,626x = 238,052 × 238,052
  4. Step 4: Simplify right side
    159,626x = 56,668,754,704
  5. Step 5: Solve for x
    x = 56,668,754,704/159,626
  6. Step 6: Final answer
    x = 355,009.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.