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Finding the Third Proportional to 183,466 and 374,708

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Solution

The third proportional to 183,466 and 374,708 is: 765,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,466 : 374,708 = 374,708 : x
  2. Step 2: Convert to fraction form
    183,466/374,708 = 374,708/x
  3. Step 3: Cross multiply
    183,466x = 374,708 × 374,708
  4. Step 4: Simplify right side
    183,466x = 140,406,085,264
  5. Step 5: Solve for x
    x = 140,406,085,264/183,466
  6. Step 6: Final answer
    x = 765,297.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.