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Finding the Third Proportional to 161,860 and 343,808

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Solution

The third proportional to 161,860 and 343,808 is: 730,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,860 : 343,808 = 343,808 : x
  2. Step 2: Convert to fraction form
    161,860/343,808 = 343,808/x
  3. Step 3: Cross multiply
    161,860x = 343,808 × 343,808
  4. Step 4: Simplify right side
    161,860x = 118,203,940,864
  5. Step 5: Solve for x
    x = 118,203,940,864/161,860
  6. Step 6: Final answer
    x = 730,285.07

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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.