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Finding the Third Proportional to 200,254.50 and 407,946

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Solution

The third proportional to 200,254.50 and 407,946 is: 831,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,254.50 : 407,946 = 407,946 : x
  2. Step 2: Convert to fraction form
    200,254.50/407,946 = 407,946/x
  3. Step 3: Cross multiply
    200,254.50x = 407,946 × 407,946
  4. Step 4: Simplify right side
    200,254.50x = 166,419,938,916
  5. Step 5: Solve for x
    x = 166,419,938,916/200,254.50
  6. Step 6: Final answer
    x = 831,042.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.