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Finding the Third Proportional to 74,384 and 163,510

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Solution

The third proportional to 74,384 and 163,510 is: 359,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,384 : 163,510 = 163,510 : x
  2. Step 2: Convert to fraction form
    74,384/163,510 = 163,510/x
  3. Step 3: Cross multiply
    74,384x = 163,510 × 163,510
  4. Step 4: Simplify right side
    74,384x = 26,735,520,100
  5. Step 5: Solve for x
    x = 26,735,520,100/74,384
  6. Step 6: Final answer
    x = 359,425.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.