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Finding the Third Proportional to 194,902 and 304,658

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Solution

The third proportional to 194,902 and 304,658 is: 476,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902 : 304,658 = 304,658 : x
  2. Step 2: Convert to fraction form
    194,902/304,658 = 304,658/x
  3. Step 3: Cross multiply
    194,902x = 304,658 × 304,658
  4. Step 4: Simplify right side
    194,902x = 92,816,496,964
  5. Step 5: Solve for x
    x = 92,816,496,964/194,902
  6. Step 6: Final answer
    x = 476,221.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.