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Finding the Third Proportional to 203,850 and 432,368

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Solution

The third proportional to 203,850 and 432,368 is: 917,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,850 : 432,368 = 432,368 : x
  2. Step 2: Convert to fraction form
    203,850/432,368 = 432,368/x
  3. Step 3: Cross multiply
    203,850x = 432,368 × 432,368
  4. Step 4: Simplify right side
    203,850x = 186,942,087,424
  5. Step 5: Solve for x
    x = 186,942,087,424/203,850
  6. Step 6: Final answer
    x = 917,057.09

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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.