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Finding the Third Proportional to 175,059 and 277,898

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Solution

The third proportional to 175,059 and 277,898 is: 441,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,059 : 277,898 = 277,898 : x
  2. Step 2: Convert to fraction form
    175,059/277,898 = 277,898/x
  3. Step 3: Cross multiply
    175,059x = 277,898 × 277,898
  4. Step 4: Simplify right side
    175,059x = 77,227,298,404
  5. Step 5: Solve for x
    x = 77,227,298,404/175,059
  6. Step 6: Final answer
    x = 441,150.12

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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.