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Finding the Third Proportional to 159,700 and 347,732

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Solution

The third proportional to 159,700 and 347,732 is: 757,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,700 : 347,732 = 347,732 : x
  2. Step 2: Convert to fraction form
    159,700/347,732 = 347,732/x
  3. Step 3: Cross multiply
    159,700x = 347,732 × 347,732
  4. Step 4: Simplify right side
    159,700x = 120,917,543,824
  5. Step 5: Solve for x
    x = 120,917,543,824/159,700
  6. Step 6: Final answer
    x = 757,154.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.