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Finding the Third Proportional to 183,729 and 393,702

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Solution

The third proportional to 183,729 and 393,702 is: 843,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729 : 393,702 = 393,702 : x
  2. Step 2: Convert to fraction form
    183,729/393,702 = 393,702/x
  3. Step 3: Cross multiply
    183,729x = 393,702 × 393,702
  4. Step 4: Simplify right side
    183,729x = 155,001,264,804
  5. Step 5: Solve for x
    x = 155,001,264,804/183,729
  6. Step 6: Final answer
    x = 843,640.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.