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Finding the Third Proportional to 158,264 and 366,068

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Solution

The third proportional to 158,264 and 366,068 is: 846,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,264 : 366,068 = 366,068 : x
  2. Step 2: Convert to fraction form
    158,264/366,068 = 366,068/x
  3. Step 3: Cross multiply
    158,264x = 366,068 × 366,068
  4. Step 4: Simplify right side
    158,264x = 134,005,780,624
  5. Step 5: Solve for x
    x = 134,005,780,624/158,264
  6. Step 6: Final answer
    x = 846,723.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.