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Finding the Third Proportional to 159,973 and 350,077

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Solution

The third proportional to 159,973 and 350,077 is: 766,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,973 : 350,077 = 350,077 : x
  2. Step 2: Convert to fraction form
    159,973/350,077 = 350,077/x
  3. Step 3: Cross multiply
    159,973x = 350,077 × 350,077
  4. Step 4: Simplify right side
    159,973x = 122,553,905,929
  5. Step 5: Solve for x
    x = 122,553,905,929/159,973
  6. Step 6: Final answer
    x = 766,091.19

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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.