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Finding the Third Proportional to 118,383 and 260,094

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Solution

The third proportional to 118,383 and 260,094 is: 571,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,383 : 260,094 = 260,094 : x
  2. Step 2: Convert to fraction form
    118,383/260,094 = 260,094/x
  3. Step 3: Cross multiply
    118,383x = 260,094 × 260,094
  4. Step 4: Simplify right side
    118,383x = 67,648,888,836
  5. Step 5: Solve for x
    x = 67,648,888,836/118,383
  6. Step 6: Final answer
    x = 571,440.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.