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Finding the Third Proportional to 79,036 and 186,574

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Solution

The third proportional to 79,036 and 186,574 is: 440,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,036 : 186,574 = 186,574 : x
  2. Step 2: Convert to fraction form
    79,036/186,574 = 186,574/x
  3. Step 3: Cross multiply
    79,036x = 186,574 × 186,574
  4. Step 4: Simplify right side
    79,036x = 34,809,857,476
  5. Step 5: Solve for x
    x = 34,809,857,476/79,036
  6. Step 6: Final answer
    x = 440,430.40

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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.