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Finding the Third Proportional to 202,343.06 and 421,282.27

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Solution

The third proportional to 202,343.06 and 421,282.27 is: 877,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.06 : 421,282.27 = 421,282.27 : x
  2. Step 2: Convert to fraction form
    202,343.06/421,282.27 = 421,282.27/x
  3. Step 3: Cross multiply
    202,343.06x = 421,282.27 × 421,282.27
  4. Step 4: Simplify right side
    202,343.06x = 177,478,747,330.13
  5. Step 5: Solve for x
    x = 177,478,747,330.13/202,343.06
  6. Step 6: Final answer
    x = 877,118.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.