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Finding the Third Proportional to 130,619 and 196,292

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Solution

The third proportional to 130,619 and 196,292 is: 294,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,619 : 196,292 = 196,292 : x
  2. Step 2: Convert to fraction form
    130,619/196,292 = 196,292/x
  3. Step 3: Cross multiply
    130,619x = 196,292 × 196,292
  4. Step 4: Simplify right side
    130,619x = 38,530,549,264
  5. Step 5: Solve for x
    x = 38,530,549,264/130,619
  6. Step 6: Final answer
    x = 294,984.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.