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Finding the Third Proportional to 158,511 and 330,117

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Solution

The third proportional to 158,511 and 330,117 is: 687,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,511 : 330,117 = 330,117 : x
  2. Step 2: Convert to fraction form
    158,511/330,117 = 330,117/x
  3. Step 3: Cross multiply
    158,511x = 330,117 × 330,117
  4. Step 4: Simplify right side
    158,511x = 108,977,233,689
  5. Step 5: Solve for x
    x = 108,977,233,689/158,511
  6. Step 6: Final answer
    x = 687,505.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.