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Finding the Third Proportional to 204,088 and 432,878

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Solution

The third proportional to 204,088 and 432,878 is: 918,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,088 : 432,878 = 432,878 : x
  2. Step 2: Convert to fraction form
    204,088/432,878 = 432,878/x
  3. Step 3: Cross multiply
    204,088x = 432,878 × 432,878
  4. Step 4: Simplify right side
    204,088x = 187,383,362,884
  5. Step 5: Solve for x
    x = 187,383,362,884/204,088
  6. Step 6: Final answer
    x = 918,149.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.