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Finding the Third Proportional to 180,604 and 415,366

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Solution

The third proportional to 180,604 and 415,366 is: 955,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,604 : 415,366 = 415,366 : x
  2. Step 2: Convert to fraction form
    180,604/415,366 = 415,366/x
  3. Step 3: Cross multiply
    180,604x = 415,366 × 415,366
  4. Step 4: Simplify right side
    180,604x = 172,528,913,956
  5. Step 5: Solve for x
    x = 172,528,913,956/180,604
  6. Step 6: Final answer
    x = 955,288.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.