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Finding the Third Proportional to 203,967 and 432,246

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Solution

The third proportional to 203,967 and 432,246 is: 916,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,967 : 432,246 = 432,246 : x
  2. Step 2: Convert to fraction form
    203,967/432,246 = 432,246/x
  3. Step 3: Cross multiply
    203,967x = 432,246 × 432,246
  4. Step 4: Simplify right side
    203,967x = 186,836,604,516
  5. Step 5: Solve for x
    x = 186,836,604,516/203,967
  6. Step 6: Final answer
    x = 916,013.89

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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.