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Finding the Third Proportional to 180,664 and 393,498

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Solution

The third proportional to 180,664 and 393,498 is: 857,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,664 : 393,498 = 393,498 : x
  2. Step 2: Convert to fraction form
    180,664/393,498 = 393,498/x
  3. Step 3: Cross multiply
    180,664x = 393,498 × 393,498
  4. Step 4: Simplify right side
    180,664x = 154,840,676,004
  5. Step 5: Solve for x
    x = 154,840,676,004/180,664
  6. Step 6: Final answer
    x = 857,064.36

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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.