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Finding the Third Proportional to 159,064 and 346,118

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Solution

The third proportional to 159,064 and 346,118 is: 753,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064 : 346,118 = 346,118 : x
  2. Step 2: Convert to fraction form
    159,064/346,118 = 346,118/x
  3. Step 3: Cross multiply
    159,064x = 346,118 × 346,118
  4. Step 4: Simplify right side
    159,064x = 119,797,669,924
  5. Step 5: Solve for x
    x = 119,797,669,924/159,064
  6. Step 6: Final answer
    x = 753,141.31

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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.