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Finding the Third Proportional to 130,340 and 194,934

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Solution

The third proportional to 130,340 and 194,934 is: 291,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,340 : 194,934 = 194,934 : x
  2. Step 2: Convert to fraction form
    130,340/194,934 = 194,934/x
  3. Step 3: Cross multiply
    130,340x = 194,934 × 194,934
  4. Step 4: Simplify right side
    130,340x = 37,999,264,356
  5. Step 5: Solve for x
    x = 37,999,264,356/130,340
  6. Step 6: Final answer
    x = 291,539.55

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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.