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Finding the Third Proportional to 74,703 and 163,374

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Solution

The third proportional to 74,703 and 163,374 is: 357,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,703 : 163,374 = 163,374 : x
  2. Step 2: Convert to fraction form
    74,703/163,374 = 163,374/x
  3. Step 3: Cross multiply
    74,703x = 163,374 × 163,374
  4. Step 4: Simplify right side
    74,703x = 26,691,063,876
  5. Step 5: Solve for x
    x = 26,691,063,876/74,703
  6. Step 6: Final answer
    x = 357,295.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.