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Finding the Third Proportional to 74,698 and 163,381

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Solution

The third proportional to 74,698 and 163,381 is: 357,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698 : 163,381 = 163,381 : x
  2. Step 2: Convert to fraction form
    74,698/163,381 = 163,381/x
  3. Step 3: Cross multiply
    74,698x = 163,381 × 163,381
  4. Step 4: Simplify right side
    74,698x = 26,693,351,161
  5. Step 5: Solve for x
    x = 26,693,351,161/74,698
  6. Step 6: Final answer
    x = 357,350.28

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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.