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Finding the Third Proportional to 159,861 and 350,178

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Solution

The third proportional to 159,861 and 350,178 is: 767,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,861 : 350,178 = 350,178 : x
  2. Step 2: Convert to fraction form
    159,861/350,178 = 350,178/x
  3. Step 3: Cross multiply
    159,861x = 350,178 × 350,178
  4. Step 4: Simplify right side
    159,861x = 122,624,631,684
  5. Step 5: Solve for x
    x = 122,624,631,684/159,861
  6. Step 6: Final answer
    x = 767,070.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.