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Finding the Third Proportional to 179,086 and 392,617

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Solution

The third proportional to 179,086 and 392,617 is: 860,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,086 : 392,617 = 392,617 : x
  2. Step 2: Convert to fraction form
    179,086/392,617 = 392,617/x
  3. Step 3: Cross multiply
    179,086x = 392,617 × 392,617
  4. Step 4: Simplify right side
    179,086x = 154,148,108,689
  5. Step 5: Solve for x
    x = 154,148,108,689/179,086
  6. Step 6: Final answer
    x = 860,749.07

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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.