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Finding the Third Proportional to 188,848 and 402,964

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Solution

The third proportional to 188,848 and 402,964 is: 859,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,848 : 402,964 = 402,964 : x
  2. Step 2: Convert to fraction form
    188,848/402,964 = 402,964/x
  3. Step 3: Cross multiply
    188,848x = 402,964 × 402,964
  4. Step 4: Simplify right side
    188,848x = 162,379,985,296
  5. Step 5: Solve for x
    x = 162,379,985,296/188,848
  6. Step 6: Final answer
    x = 859,844.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.