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Finding the Third Proportional to 118,946.81 and 267,835.78

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Solution

The third proportional to 118,946.81 and 267,835.78 is: 603,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946.81 : 267,835.78 = 267,835.78 : x
  2. Step 2: Convert to fraction form
    118,946.81/267,835.78 = 267,835.78/x
  3. Step 3: Cross multiply
    118,946.81x = 267,835.78 × 267,835.78
  4. Step 4: Simplify right side
    118,946.81x = 71,736,005,717.80
  5. Step 5: Solve for x
    x = 71,736,005,717.80/118,946.81
  6. Step 6: Final answer
    x = 603,093.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.