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Finding the Third Proportional to 130,338 and 194,931

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Solution

The third proportional to 130,338 and 194,931 is: 291,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338 : 194,931 = 194,931 : x
  2. Step 2: Convert to fraction form
    130,338/194,931 = 194,931/x
  3. Step 3: Cross multiply
    130,338x = 194,931 × 194,931
  4. Step 4: Simplify right side
    130,338x = 37,998,094,761
  5. Step 5: Solve for x
    x = 37,998,094,761/130,338
  6. Step 6: Final answer
    x = 291,535.05

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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.