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Finding the Third Proportional to 130,260 and 194,843

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Solution

The third proportional to 130,260 and 194,843 is: 291,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,260 : 194,843 = 194,843 : x
  2. Step 2: Convert to fraction form
    130,260/194,843 = 194,843/x
  3. Step 3: Cross multiply
    130,260x = 194,843 × 194,843
  4. Step 4: Simplify right side
    130,260x = 37,963,794,649
  5. Step 5: Solve for x
    x = 37,963,794,649/130,260
  6. Step 6: Final answer
    x = 291,446.30

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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.