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Finding the Third Proportional to 198,844 and 301,160

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Solution

The third proportional to 198,844 and 301,160 is: 456,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,844 : 301,160 = 301,160 : x
  2. Step 2: Convert to fraction form
    198,844/301,160 = 301,160/x
  3. Step 3: Cross multiply
    198,844x = 301,160 × 301,160
  4. Step 4: Simplify right side
    198,844x = 90,697,345,600
  5. Step 5: Solve for x
    x = 90,697,345,600/198,844
  6. Step 6: Final answer
    x = 456,123.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.