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Finding the Third Proportional to 146,842.88 and 320,648.63

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Solution

The third proportional to 146,842.88 and 320,648.63 is: 700,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,842.88 : 320,648.63 = 320,648.63 : x
  2. Step 2: Convert to fraction form
    146,842.88/320,648.63 = 320,648.63/x
  3. Step 3: Cross multiply
    146,842.88x = 320,648.63 × 320,648.63
  4. Step 4: Simplify right side
    146,842.88x = 102,815,540,714.39
  5. Step 5: Solve for x
    x = 102,815,540,714.39/146,842.88
  6. Step 6: Final answer
    x = 700,173.85

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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.