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Finding the Third Proportional to 79,034 and 186,565

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Solution

The third proportional to 79,034 and 186,565 is: 440,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,034 : 186,565 = 186,565 : x
  2. Step 2: Convert to fraction form
    79,034/186,565 = 186,565/x
  3. Step 3: Cross multiply
    79,034x = 186,565 × 186,565
  4. Step 4: Simplify right side
    79,034x = 34,806,499,225
  5. Step 5: Solve for x
    x = 34,806,499,225/79,034
  6. Step 6: Final answer
    x = 440,399.06

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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.