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Finding the Third Proportional to 175,069 and 277,913

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Solution

The third proportional to 175,069 and 277,913 is: 441,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,069 : 277,913 = 277,913 : x
  2. Step 2: Convert to fraction form
    175,069/277,913 = 277,913/x
  3. Step 3: Cross multiply
    175,069x = 277,913 × 277,913
  4. Step 4: Simplify right side
    175,069x = 77,235,635,569
  5. Step 5: Solve for x
    x = 77,235,635,569/175,069
  6. Step 6: Final answer
    x = 441,172.54

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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.