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Finding the Third Proportional to 117,352.25 and 253,410.44

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Solution

The third proportional to 117,352.25 and 253,410.44 is: 547,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,352.25 : 253,410.44 = 253,410.44 : x
  2. Step 2: Convert to fraction form
    117,352.25/253,410.44 = 253,410.44/x
  3. Step 3: Cross multiply
    117,352.25x = 253,410.44 × 253,410.44
  4. Step 4: Simplify right side
    117,352.25x = 64,216,849,833.94
  5. Step 5: Solve for x
    x = 64,216,849,833.94/117,352.25
  6. Step 6: Final answer
    x = 547,214.47

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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.