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Finding the Third Proportional to 161,932 and 341,468

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Solution

The third proportional to 161,932 and 341,468 is: 720,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,932 : 341,468 = 341,468 : x
  2. Step 2: Convert to fraction form
    161,932/341,468 = 341,468/x
  3. Step 3: Cross multiply
    161,932x = 341,468 × 341,468
  4. Step 4: Simplify right side
    161,932x = 116,600,395,024
  5. Step 5: Solve for x
    x = 116,600,395,024/161,932
  6. Step 6: Final answer
    x = 720,057.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.