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Finding the Third Proportional to 183,733 and 393,710

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Solution

The third proportional to 183,733 and 393,710 is: 843,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,733 : 393,710 = 393,710 : x
  2. Step 2: Convert to fraction form
    183,733/393,710 = 393,710/x
  3. Step 3: Cross multiply
    183,733x = 393,710 × 393,710
  4. Step 4: Simplify right side
    183,733x = 155,007,564,100
  5. Step 5: Solve for x
    x = 155,007,564,100/183,733
  6. Step 6: Final answer
    x = 843,656.63

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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.