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Finding the Third Proportional to 118,193.25 and 177,411.75

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Solution

The third proportional to 118,193.25 and 177,411.75 is: 266,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,193.25 : 177,411.75 = 177,411.75 : x
  2. Step 2: Convert to fraction form
    118,193.25/177,411.75 = 177,411.75/x
  3. Step 3: Cross multiply
    118,193.25x = 177,411.75 × 177,411.75
  4. Step 4: Simplify right side
    118,193.25x = 31,474,929,038.06
  5. Step 5: Solve for x
    x = 31,474,929,038.06/118,193.25
  6. Step 6: Final answer
    x = 266,300.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.