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Finding the Third Proportional to 74,337 and 160,338

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Solution

The third proportional to 74,337 and 160,338 is: 345,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,337 : 160,338 = 160,338 : x
  2. Step 2: Convert to fraction form
    74,337/160,338 = 160,338/x
  3. Step 3: Cross multiply
    74,337x = 160,338 × 160,338
  4. Step 4: Simplify right side
    74,337x = 25,708,274,244
  5. Step 5: Solve for x
    x = 25,708,274,244/74,337
  6. Step 6: Final answer
    x = 345,834.16

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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.