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Finding the Third Proportional to 204,461.72 and 292,672.62

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Solution

The third proportional to 204,461.72 and 292,672.62 is: 418,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,461.72 : 292,672.62 = 292,672.62 : x
  2. Step 2: Convert to fraction form
    204,461.72/292,672.62 = 292,672.62/x
  3. Step 3: Cross multiply
    204,461.72x = 292,672.62 × 292,672.62
  4. Step 4: Simplify right side
    204,461.72x = 85,657,260,851.38
  5. Step 5: Solve for x
    x = 85,657,260,851.38/204,461.72
  6. Step 6: Final answer
    x = 418,940.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.