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Finding the Third Proportional to 159,066 and 343,040

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Solution

The third proportional to 159,066 and 343,040 is: 739,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,066 : 343,040 = 343,040 : x
  2. Step 2: Convert to fraction form
    159,066/343,040 = 343,040/x
  3. Step 3: Cross multiply
    159,066x = 343,040 × 343,040
  4. Step 4: Simplify right side
    159,066x = 117,676,441,600
  5. Step 5: Solve for x
    x = 117,676,441,600/159,066
  6. Step 6: Final answer
    x = 739,796.32

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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.