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Finding the Third Proportional to 79,140 and 186,816

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Solution

The third proportional to 79,140 and 186,816 is: 440,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,140 : 186,816 = 186,816 : x
  2. Step 2: Convert to fraction form
    79,140/186,816 = 186,816/x
  3. Step 3: Cross multiply
    79,140x = 186,816 × 186,816
  4. Step 4: Simplify right side
    79,140x = 34,900,217,856
  5. Step 5: Solve for x
    x = 34,900,217,856/79,140
  6. Step 6: Final answer
    x = 440,993.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.