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Finding the Third Proportional to 118,337 and 254,716.50

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Solution

The third proportional to 118,337 and 254,716.50 is: 548,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,337 : 254,716.50 = 254,716.50 : x
  2. Step 2: Convert to fraction form
    118,337/254,716.50 = 254,716.50/x
  3. Step 3: Cross multiply
    118,337x = 254,716.50 × 254,716.50
  4. Step 4: Simplify right side
    118,337x = 64,880,495,372.25
  5. Step 5: Solve for x
    x = 64,880,495,372.25/118,337
  6. Step 6: Final answer
    x = 548,268.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.