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Finding the Third Proportional to 117,735 and 251,628.75

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Solution

The third proportional to 117,735 and 251,628.75 is: 537,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,735 : 251,628.75 = 251,628.75 : x
  2. Step 2: Convert to fraction form
    117,735/251,628.75 = 251,628.75/x
  3. Step 3: Cross multiply
    117,735x = 251,628.75 × 251,628.75
  4. Step 4: Simplify right side
    117,735x = 63,317,027,826.56
  5. Step 5: Solve for x
    x = 63,317,027,826.56/117,735
  6. Step 6: Final answer
    x = 537,792.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.