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Finding the Third Proportional to 118,865.25 and 243,195.75

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Solution

The third proportional to 118,865.25 and 243,195.75 is: 497,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,865.25 : 243,195.75 = 243,195.75 : x
  2. Step 2: Convert to fraction form
    118,865.25/243,195.75 = 243,195.75/x
  3. Step 3: Cross multiply
    118,865.25x = 243,195.75 × 243,195.75
  4. Step 4: Simplify right side
    118,865.25x = 59,144,172,818.06
  5. Step 5: Solve for x
    x = 59,144,172,818.06/118,865.25
  6. Step 6: Final answer
    x = 497,573.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.