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Finding the Third Proportional to 159,163 and 343,232

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Solution

The third proportional to 159,163 and 343,232 is: 740,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,163 : 343,232 = 343,232 : x
  2. Step 2: Convert to fraction form
    159,163/343,232 = 343,232/x
  3. Step 3: Cross multiply
    159,163x = 343,232 × 343,232
  4. Step 4: Simplify right side
    159,163x = 117,808,205,824
  5. Step 5: Solve for x
    x = 117,808,205,824/159,163
  6. Step 6: Final answer
    x = 740,173.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.