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Finding the Third Proportional to 162,222 and 239,121

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Solution

The third proportional to 162,222 and 239,121 is: 352,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,222 : 239,121 = 239,121 : x
  2. Step 2: Convert to fraction form
    162,222/239,121 = 239,121/x
  3. Step 3: Cross multiply
    162,222x = 239,121 × 239,121
  4. Step 4: Simplify right side
    162,222x = 57,178,852,641
  5. Step 5: Solve for x
    x = 57,178,852,641/162,222
  6. Step 6: Final answer
    x = 352,472.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.