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Finding the Third Proportional to 195,708 and 303,032

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Solution

The third proportional to 195,708 and 303,032 is: 469,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,708 : 303,032 = 303,032 : x
  2. Step 2: Convert to fraction form
    195,708/303,032 = 303,032/x
  3. Step 3: Cross multiply
    195,708x = 303,032 × 303,032
  4. Step 4: Simplify right side
    195,708x = 91,828,393,024
  5. Step 5: Solve for x
    x = 91,828,393,024/195,708
  6. Step 6: Final answer
    x = 469,211.24

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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.