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Finding the Third Proportional to 175,196.36 and 274,471.35

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Solution

The third proportional to 175,196.36 and 274,471.35 is: 430,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,196.36 : 274,471.35 = 274,471.35 : x
  2. Step 2: Convert to fraction form
    175,196.36/274,471.35 = 274,471.35/x
  3. Step 3: Cross multiply
    175,196.36x = 274,471.35 × 274,471.35
  4. Step 4: Simplify right side
    175,196.36x = 75,334,520,684.24
  5. Step 5: Solve for x
    x = 75,334,520,684.24/175,196.36
  6. Step 6: Final answer
    x = 430,000.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.