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Finding the Third Proportional to 182,898 and 277,587

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Solution

The third proportional to 182,898 and 277,587 is: 421,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898 : 277,587 = 277,587 : x
  2. Step 2: Convert to fraction form
    182,898/277,587 = 277,587/x
  3. Step 3: Cross multiply
    182,898x = 277,587 × 277,587
  4. Step 4: Simplify right side
    182,898x = 77,054,542,569
  5. Step 5: Solve for x
    x = 77,054,542,569/182,898
  6. Step 6: Final answer
    x = 421,297.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.