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Finding the Third Proportional to 162,092 and 352,554

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Solution

The third proportional to 162,092 and 352,554 is: 766,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092 : 352,554 = 352,554 : x
  2. Step 2: Convert to fraction form
    162,092/352,554 = 352,554/x
  3. Step 3: Cross multiply
    162,092x = 352,554 × 352,554
  4. Step 4: Simplify right side
    162,092x = 124,294,322,916
  5. Step 5: Solve for x
    x = 124,294,322,916/162,092
  6. Step 6: Final answer
    x = 766,813.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.