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Finding the Third Proportional to 198,972.63 and 308,548

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Solution

The third proportional to 198,972.63 and 308,548 is: 478,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972.63 : 308,548 = 308,548 : x
  2. Step 2: Convert to fraction form
    198,972.63/308,548 = 308,548/x
  3. Step 3: Cross multiply
    198,972.63x = 308,548 × 308,548
  4. Step 4: Simplify right side
    198,972.63x = 95,201,868,304
  5. Step 5: Solve for x
    x = 95,201,868,304/198,972.63
  6. Step 6: Final answer
    x = 478,467.17

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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.