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Finding the Third Proportional to 134,598 and 195,630

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Solution

The third proportional to 134,598 and 195,630 is: 284,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,598 : 195,630 = 195,630 : x
  2. Step 2: Convert to fraction form
    134,598/195,630 = 195,630/x
  3. Step 3: Cross multiply
    134,598x = 195,630 × 195,630
  4. Step 4: Simplify right side
    134,598x = 38,271,096,900
  5. Step 5: Solve for x
    x = 38,271,096,900/134,598
  6. Step 6: Final answer
    x = 284,336.30

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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.