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Finding the Third Proportional to 79,068 and 186,648

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Solution

The third proportional to 79,068 and 186,648 is: 440,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,068 : 186,648 = 186,648 : x
  2. Step 2: Convert to fraction form
    79,068/186,648 = 186,648/x
  3. Step 3: Cross multiply
    79,068x = 186,648 × 186,648
  4. Step 4: Simplify right side
    79,068x = 34,837,475,904
  5. Step 5: Solve for x
    x = 34,837,475,904/79,068
  6. Step 6: Final answer
    x = 440,601.46

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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.