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Finding the Third Proportional to 198,115 and 432,338

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Solution

The third proportional to 198,115 and 432,338 is: 943,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,115 : 432,338 = 432,338 : x
  2. Step 2: Convert to fraction form
    198,115/432,338 = 432,338/x
  3. Step 3: Cross multiply
    198,115x = 432,338 × 432,338
  4. Step 4: Simplify right side
    198,115x = 186,916,146,244
  5. Step 5: Solve for x
    x = 186,916,146,244/198,115
  6. Step 6: Final answer
    x = 943,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.