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Finding the Third Proportional to 174,965.06 and 374,805.56

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Solution

The third proportional to 174,965.06 and 374,805.56 is: 802,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965.06 : 374,805.56 = 374,805.56 : x
  2. Step 2: Convert to fraction form
    174,965.06/374,805.56 = 374,805.56/x
  3. Step 3: Cross multiply
    174,965.06x = 374,805.56 × 374,805.56
  4. Step 4: Simplify right side
    174,965.06x = 140,479,209,680.94
  5. Step 5: Solve for x
    x = 140,479,209,680.94/174,965.06
  6. Step 6: Final answer
    x = 802,898.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.