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Finding the Third Proportional to 196,502 and 304,809

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Solution

The third proportional to 196,502 and 304,809 is: 472,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,502 : 304,809 = 304,809 : x
  2. Step 2: Convert to fraction form
    196,502/304,809 = 304,809/x
  3. Step 3: Cross multiply
    196,502x = 304,809 × 304,809
  4. Step 4: Simplify right side
    196,502x = 92,908,526,481
  5. Step 5: Solve for x
    x = 92,908,526,481/196,502
  6. Step 6: Final answer
    x = 472,812.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.