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Finding the Third Proportional to 158,527 and 330,149

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Solution

The third proportional to 158,527 and 330,149 is: 687,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,527 : 330,149 = 330,149 : x
  2. Step 2: Convert to fraction form
    158,527/330,149 = 330,149/x
  3. Step 3: Cross multiply
    158,527x = 330,149 × 330,149
  4. Step 4: Simplify right side
    158,527x = 108,998,362,201
  5. Step 5: Solve for x
    x = 108,998,362,201/158,527
  6. Step 6: Final answer
    x = 687,569.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.