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Finding the Third Proportional to 180,823 and 393,790

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Solution

The third proportional to 180,823 and 393,790 is: 857,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,823 : 393,790 = 393,790 : x
  2. Step 2: Convert to fraction form
    180,823/393,790 = 393,790/x
  3. Step 3: Cross multiply
    180,823x = 393,790 × 393,790
  4. Step 4: Simplify right side
    180,823x = 155,070,564,100
  5. Step 5: Solve for x
    x = 155,070,564,100/180,823
  6. Step 6: Final answer
    x = 857,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.