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Finding the Third Proportional to 163,092 and 337,371

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Solution

The third proportional to 163,092 and 337,371 is: 697,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,092 : 337,371 = 337,371 : x
  2. Step 2: Convert to fraction form
    163,092/337,371 = 337,371/x
  3. Step 3: Cross multiply
    163,092x = 337,371 × 337,371
  4. Step 4: Simplify right side
    163,092x = 113,819,191,641
  5. Step 5: Solve for x
    x = 113,819,191,641/163,092
  6. Step 6: Final answer
    x = 697,883.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.