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Finding the Third Proportional to 159,964 and 350,060

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Solution

The third proportional to 159,964 and 350,060 is: 766,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,964 : 350,060 = 350,060 : x
  2. Step 2: Convert to fraction form
    159,964/350,060 = 350,060/x
  3. Step 3: Cross multiply
    159,964x = 350,060 × 350,060
  4. Step 4: Simplify right side
    159,964x = 122,542,003,600
  5. Step 5: Solve for x
    x = 122,542,003,600/159,964
  6. Step 6: Final answer
    x = 766,059.89

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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.