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Finding the Third Proportional to 175,686 and 277,914

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Solution

The third proportional to 175,686 and 277,914 is: 439,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,686 : 277,914 = 277,914 : x
  2. Step 2: Convert to fraction form
    175,686/277,914 = 277,914/x
  3. Step 3: Cross multiply
    175,686x = 277,914 × 277,914
  4. Step 4: Simplify right side
    175,686x = 77,236,191,396
  5. Step 5: Solve for x
    x = 77,236,191,396/175,686
  6. Step 6: Final answer
    x = 439,626.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.