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Finding the Third Proportional to 161,160 and 341,529

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Solution

The third proportional to 161,160 and 341,529 is: 723,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,160 : 341,529 = 341,529 : x
  2. Step 2: Convert to fraction form
    161,160/341,529 = 341,529/x
  3. Step 3: Cross multiply
    161,160x = 341,529 × 341,529
  4. Step 4: Simplify right side
    161,160x = 116,642,057,841
  5. Step 5: Solve for x
    x = 116,642,057,841/161,160
  6. Step 6: Final answer
    x = 723,765.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.