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Finding the Third Proportional to 189,672 and 254,540

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Solution

The third proportional to 189,672 and 254,540 is: 341,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672 : 254,540 = 254,540 : x
  2. Step 2: Convert to fraction form
    189,672/254,540 = 254,540/x
  3. Step 3: Cross multiply
    189,672x = 254,540 × 254,540
  4. Step 4: Simplify right side
    189,672x = 64,790,611,600
  5. Step 5: Solve for x
    x = 64,790,611,600/189,672
  6. Step 6: Final answer
    x = 341,592.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.