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Finding the Third Proportional to 134,496 and 195,438

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Solution

The third proportional to 134,496 and 195,438 is: 283,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,496 : 195,438 = 195,438 : x
  2. Step 2: Convert to fraction form
    134,496/195,438 = 195,438/x
  3. Step 3: Cross multiply
    134,496x = 195,438 × 195,438
  4. Step 4: Simplify right side
    134,496x = 38,196,011,844
  5. Step 5: Solve for x
    x = 38,196,011,844/134,496
  6. Step 6: Final answer
    x = 283,993.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.