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Finding the Third Proportional to 162,216 and 227,664

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Solution

The third proportional to 162,216 and 227,664 is: 319,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,216 : 227,664 = 227,664 : x
  2. Step 2: Convert to fraction form
    162,216/227,664 = 227,664/x
  3. Step 3: Cross multiply
    162,216x = 227,664 × 227,664
  4. Step 4: Simplify right side
    162,216x = 51,830,896,896
  5. Step 5: Solve for x
    x = 51,830,896,896/162,216
  6. Step 6: Final answer
    x = 319,517.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.