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Finding the Third Proportional to 174,210.75 and 186,522.75

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Solution

The third proportional to 174,210.75 and 186,522.75 is: 199,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,210.75 : 186,522.75 = 186,522.75 : x
  2. Step 2: Convert to fraction form
    174,210.75/186,522.75 = 186,522.75/x
  3. Step 3: Cross multiply
    174,210.75x = 186,522.75 × 186,522.75
  4. Step 4: Simplify right side
    174,210.75x = 34,790,736,267.56
  5. Step 5: Solve for x
    x = 34,790,736,267.56/174,210.75
  6. Step 6: Final answer
    x = 199,704.88

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.