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Finding the Third Proportional to 183,732 and 393,708

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Solution

The third proportional to 183,732 and 393,708 is: 843,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,732 : 393,708 = 393,708 : x
  2. Step 2: Convert to fraction form
    183,732/393,708 = 393,708/x
  3. Step 3: Cross multiply
    183,732x = 393,708 × 393,708
  4. Step 4: Simplify right side
    183,732x = 155,005,989,264
  5. Step 5: Solve for x
    x = 155,005,989,264/183,732
  6. Step 6: Final answer
    x = 843,652.65

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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.