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Finding the Third Proportional to 162,267 and 356,502

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Solution

The third proportional to 162,267 and 356,502 is: 783,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,267 : 356,502 = 356,502 : x
  2. Step 2: Convert to fraction form
    162,267/356,502 = 356,502/x
  3. Step 3: Cross multiply
    162,267x = 356,502 × 356,502
  4. Step 4: Simplify right side
    162,267x = 127,093,676,004
  5. Step 5: Solve for x
    x = 127,093,676,004/162,267
  6. Step 6: Final answer
    x = 783,237.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.