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Finding the Third Proportional to 168,827.06 and 398,522.81

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Solution

The third proportional to 168,827.06 and 398,522.81 is: 940,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,827.06 : 398,522.81 = 398,522.81 : x
  2. Step 2: Convert to fraction form
    168,827.06/398,522.81 = 398,522.81/x
  3. Step 3: Cross multiply
    168,827.06x = 398,522.81 × 398,522.81
  4. Step 4: Simplify right side
    168,827.06x = 158,820,432,082.91
  5. Step 5: Solve for x
    x = 158,820,432,082.91/168,827.06
  6. Step 6: Final answer
    x = 940,728.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.