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Finding the Third Proportional to 198,512 and 432,014

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Solution

The third proportional to 198,512 and 432,014 is: 940,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,512 : 432,014 = 432,014 : x
  2. Step 2: Convert to fraction form
    198,512/432,014 = 432,014/x
  3. Step 3: Cross multiply
    198,512x = 432,014 × 432,014
  4. Step 4: Simplify right side
    198,512x = 186,636,096,196
  5. Step 5: Solve for x
    x = 186,636,096,196/198,512
  6. Step 6: Final answer
    x = 940,175.39

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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.