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Finding the Third Proportional to 183,510 and 283,629

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Solution

The third proportional to 183,510 and 283,629 is: 438,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,510 : 283,629 = 283,629 : x
  2. Step 2: Convert to fraction form
    183,510/283,629 = 283,629/x
  3. Step 3: Cross multiply
    183,510x = 283,629 × 283,629
  4. Step 4: Simplify right side
    183,510x = 80,445,409,641
  5. Step 5: Solve for x
    x = 80,445,409,641/183,510
  6. Step 6: Final answer
    x = 438,370.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.