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Finding the Third Proportional to 175,079 and 277,927

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Solution

The third proportional to 175,079 and 277,927 is: 441,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,079 : 277,927 = 277,927 : x
  2. Step 2: Convert to fraction form
    175,079/277,927 = 277,927/x
  3. Step 3: Cross multiply
    175,079x = 277,927 × 277,927
  4. Step 4: Simplify right side
    175,079x = 77,243,417,329
  5. Step 5: Solve for x
    x = 77,243,417,329/175,079
  6. Step 6: Final answer
    x = 441,191.79

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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.