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Finding the Third Proportional to 193,461.75 and 298,819.13

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Solution

The third proportional to 193,461.75 and 298,819.13 is: 461,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,461.75 : 298,819.13 = 298,819.13 : x
  2. Step 2: Convert to fraction form
    193,461.75/298,819.13 = 298,819.13/x
  3. Step 3: Cross multiply
    193,461.75x = 298,819.13 × 298,819.13
  4. Step 4: Simplify right side
    193,461.75x = 89,292,869,465.77
  5. Step 5: Solve for x
    x = 89,292,869,465.77/193,461.75
  6. Step 6: Final answer
    x = 461,553.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.