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Finding the Third Proportional to 130,906.13 and 197,452.69

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Solution

The third proportional to 130,906.13 and 197,452.69 is: 297,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,906.13 : 197,452.69 = 197,452.69 : x
  2. Step 2: Convert to fraction form
    130,906.13/197,452.69 = 197,452.69/x
  3. Step 3: Cross multiply
    130,906.13x = 197,452.69 × 197,452.69
  4. Step 4: Simplify right side
    130,906.13x = 38,987,563,800.97
  5. Step 5: Solve for x
    x = 38,987,563,800.97/130,906.13
  6. Step 6: Final answer
    x = 297,828.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.