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Finding the Third Proportional to 212,849.44 and 329,601.66

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Solution

The third proportional to 212,849.44 and 329,601.66 is: 510,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,849.44 : 329,601.66 = 329,601.66 : x
  2. Step 2: Convert to fraction form
    212,849.44/329,601.66 = 329,601.66/x
  3. Step 3: Cross multiply
    212,849.44x = 329,601.66 × 329,601.66
  4. Step 4: Simplify right side
    212,849.44x = 108,637,251,802.74
  5. Step 5: Solve for x
    x = 108,637,251,802.74/212,849.44
  6. Step 6: Final answer
    x = 510,394.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.