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Finding the Third Proportional to 180,788 and 393,748

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Solution

The third proportional to 180,788 and 393,748 is: 857,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,788 : 393,748 = 393,748 : x
  2. Step 2: Convert to fraction form
    180,788/393,748 = 393,748/x
  3. Step 3: Cross multiply
    180,788x = 393,748 × 393,748
  4. Step 4: Simplify right side
    180,788x = 155,037,487,504
  5. Step 5: Solve for x
    x = 155,037,487,504/180,788
  6. Step 6: Final answer
    x = 857,565.15

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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.