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Finding the Third Proportional to 204,327 and 306,769.50

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Solution

The third proportional to 204,327 and 306,769.50 is: 460,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,327 : 306,769.50 = 306,769.50 : x
  2. Step 2: Convert to fraction form
    204,327/306,769.50 = 306,769.50/x
  3. Step 3: Cross multiply
    204,327x = 306,769.50 × 306,769.50
  4. Step 4: Simplify right side
    204,327x = 94,107,526,130.25
  5. Step 5: Solve for x
    x = 94,107,526,130.25/204,327
  6. Step 6: Final answer
    x = 460,573.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.