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Finding the Third Proportional to 160,222 and 341,153

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Solution

The third proportional to 160,222 and 341,153 is: 726,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,222 : 341,153 = 341,153 : x
  2. Step 2: Convert to fraction form
    160,222/341,153 = 341,153/x
  3. Step 3: Cross multiply
    160,222x = 341,153 × 341,153
  4. Step 4: Simplify right side
    160,222x = 116,385,369,409
  5. Step 5: Solve for x
    x = 116,385,369,409/160,222
  6. Step 6: Final answer
    x = 726,400.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.