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Finding the Third Proportional to 74,380 and 163,502

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Solution

The third proportional to 74,380 and 163,502 is: 359,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380 : 163,502 = 163,502 : x
  2. Step 2: Convert to fraction form
    74,380/163,502 = 163,502/x
  3. Step 3: Cross multiply
    74,380x = 163,502 × 163,502
  4. Step 4: Simplify right side
    74,380x = 26,732,904,004
  5. Step 5: Solve for x
    x = 26,732,904,004/74,380
  6. Step 6: Final answer
    x = 359,409.84

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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.