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Finding the Third Proportional to 159,071 and 346,132

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Solution

The third proportional to 159,071 and 346,132 is: 753,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,071 : 346,132 = 346,132 : x
  2. Step 2: Convert to fraction form
    159,071/346,132 = 346,132/x
  3. Step 3: Cross multiply
    159,071x = 346,132 × 346,132
  4. Step 4: Simplify right side
    159,071x = 119,807,361,424
  5. Step 5: Solve for x
    x = 119,807,361,424/159,071
  6. Step 6: Final answer
    x = 753,169.10

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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.