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Finding the Third Proportional to 162,469 and 362,294

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Solution

The third proportional to 162,469 and 362,294 is: 807,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,469 : 362,294 = 362,294 : x
  2. Step 2: Convert to fraction form
    162,469/362,294 = 362,294/x
  3. Step 3: Cross multiply
    162,469x = 362,294 × 362,294
  4. Step 4: Simplify right side
    162,469x = 131,256,942,436
  5. Step 5: Solve for x
    x = 131,256,942,436/162,469
  6. Step 6: Final answer
    x = 807,889.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.