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Finding the Third Proportional to 169,334 and 364,156

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Solution

The third proportional to 169,334 and 364,156 is: 783,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,334 : 364,156 = 364,156 : x
  2. Step 2: Convert to fraction form
    169,334/364,156 = 364,156/x
  3. Step 3: Cross multiply
    169,334x = 364,156 × 364,156
  4. Step 4: Simplify right side
    169,334x = 132,609,592,336
  5. Step 5: Solve for x
    x = 132,609,592,336/169,334
  6. Step 6: Final answer
    x = 783,124.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.