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Finding the Third Proportional to 117,200.50 and 252,653

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Solution

The third proportional to 117,200.50 and 252,653 is: 544,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,200.50 : 252,653 = 252,653 : x
  2. Step 2: Convert to fraction form
    117,200.50/252,653 = 252,653/x
  3. Step 3: Cross multiply
    117,200.50x = 252,653 × 252,653
  4. Step 4: Simplify right side
    117,200.50x = 63,833,538,409
  5. Step 5: Solve for x
    x = 63,833,538,409/117,200.50
  6. Step 6: Final answer
    x = 544,652.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.