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Finding the Third Proportional to 203,830.25 and 432,324.25

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Solution

The third proportional to 203,830.25 and 432,324.25 is: 916,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,830.25 : 432,324.25 = 432,324.25 : x
  2. Step 2: Convert to fraction form
    203,830.25/432,324.25 = 432,324.25/x
  3. Step 3: Cross multiply
    203,830.25x = 432,324.25 × 432,324.25
  4. Step 4: Simplify right side
    203,830.25x = 186,904,257,138.06
  5. Step 5: Solve for x
    x = 186,904,257,138.06/203,830.25
  6. Step 6: Final answer
    x = 916,960.35

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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.