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Finding the Third Proportional to 174,206 and 381,627.50

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Solution

The third proportional to 174,206 and 381,627.50 is: 836,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206 : 381,627.50 = 381,627.50 : x
  2. Step 2: Convert to fraction form
    174,206/381,627.50 = 381,627.50/x
  3. Step 3: Cross multiply
    174,206x = 381,627.50 × 381,627.50
  4. Step 4: Simplify right side
    174,206x = 145,639,548,756.25
  5. Step 5: Solve for x
    x = 145,639,548,756.25/174,206
  6. Step 6: Final answer
    x = 836,019.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.