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Finding the Third Proportional to 195,848 and 403,288

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Solution

The third proportional to 195,848 and 403,288 is: 830,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,848 : 403,288 = 403,288 : x
  2. Step 2: Convert to fraction form
    195,848/403,288 = 403,288/x
  3. Step 3: Cross multiply
    195,848x = 403,288 × 403,288
  4. Step 4: Simplify right side
    195,848x = 162,641,210,944
  5. Step 5: Solve for x
    x = 162,641,210,944/195,848
  6. Step 6: Final answer
    x = 830,446.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.