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Finding the Third Proportional to 130,218 and 195,674

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Solution

The third proportional to 130,218 and 195,674 is: 294,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,218 : 195,674 = 195,674 : x
  2. Step 2: Convert to fraction form
    130,218/195,674 = 195,674/x
  3. Step 3: Cross multiply
    130,218x = 195,674 × 195,674
  4. Step 4: Simplify right side
    130,218x = 38,288,314,276
  5. Step 5: Solve for x
    x = 38,288,314,276/130,218
  6. Step 6: Final answer
    x = 294,032.42

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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.