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Finding the Third Proportional to 131,648.63 and 198,632.25

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Solution

The third proportional to 131,648.63 and 198,632.25 is: 299,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,648.63 : 198,632.25 = 198,632.25 : x
  2. Step 2: Convert to fraction form
    131,648.63/198,632.25 = 198,632.25/x
  3. Step 3: Cross multiply
    131,648.63x = 198,632.25 × 198,632.25
  4. Step 4: Simplify right side
    131,648.63x = 39,454,770,740.06
  5. Step 5: Solve for x
    x = 39,454,770,740.06/131,648.63
  6. Step 6: Final answer
    x = 299,697.55

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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.