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Finding the Third Proportional to 202,602.50 and 440,881

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Solution

The third proportional to 202,602.50 and 440,881 is: 959,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,602.50 : 440,881 = 440,881 : x
  2. Step 2: Convert to fraction form
    202,602.50/440,881 = 440,881/x
  3. Step 3: Cross multiply
    202,602.50x = 440,881 × 440,881
  4. Step 4: Simplify right side
    202,602.50x = 194,376,056,161
  5. Step 5: Solve for x
    x = 194,376,056,161/202,602.50
  6. Step 6: Final answer
    x = 959,396.14

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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.