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Finding the Third Proportional to 175,816 and 279,528

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Solution

The third proportional to 175,816 and 279,528 is: 444,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,816 : 279,528 = 279,528 : x
  2. Step 2: Convert to fraction form
    175,816/279,528 = 279,528/x
  3. Step 3: Cross multiply
    175,816x = 279,528 × 279,528
  4. Step 4: Simplify right side
    175,816x = 78,135,902,784
  5. Step 5: Solve for x
    x = 78,135,902,784/175,816
  6. Step 6: Final answer
    x = 444,418.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.