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Finding the Third Proportional to 116,428.50 and 254,652

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Solution

The third proportional to 116,428.50 and 254,652 is: 556,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,428.50 : 254,652 = 254,652 : x
  2. Step 2: Convert to fraction form
    116,428.50/254,652 = 254,652/x
  3. Step 3: Cross multiply
    116,428.50x = 254,652 × 254,652
  4. Step 4: Simplify right side
    116,428.50x = 64,847,641,104
  5. Step 5: Solve for x
    x = 64,847,641,104/116,428.50
  6. Step 6: Final answer
    x = 556,973.95

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