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Finding the Third Proportional to 74,800 and 161,264

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Solution

The third proportional to 74,800 and 161,264 is: 347,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,800 : 161,264 = 161,264 : x
  2. Step 2: Convert to fraction form
    74,800/161,264 = 161,264/x
  3. Step 3: Cross multiply
    74,800x = 161,264 × 161,264
  4. Step 4: Simplify right side
    74,800x = 26,006,077,696
  5. Step 5: Solve for x
    x = 26,006,077,696/74,800
  6. Step 6: Final answer
    x = 347,674.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.