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Finding the Third Proportional to 74,380 and 160,424

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Solution

The third proportional to 74,380 and 160,424 is: 346,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380 : 160,424 = 160,424 : x
  2. Step 2: Convert to fraction form
    74,380/160,424 = 160,424/x
  3. Step 3: Cross multiply
    74,380x = 160,424 × 160,424
  4. Step 4: Simplify right side
    74,380x = 25,735,859,776
  5. Step 5: Solve for x
    x = 25,735,859,776/74,380
  6. Step 6: Final answer
    x = 346,005.11

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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.