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Finding the Third Proportional to 168,828 and 369,024

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Solution

The third proportional to 168,828 and 369,024 is: 806,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,828 : 369,024 = 369,024 : x
  2. Step 2: Convert to fraction form
    168,828/369,024 = 369,024/x
  3. Step 3: Cross multiply
    168,828x = 369,024 × 369,024
  4. Step 4: Simplify right side
    168,828x = 136,178,712,576
  5. Step 5: Solve for x
    x = 136,178,712,576/168,828
  6. Step 6: Final answer
    x = 806,612.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.