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Finding the Third Proportional to 204,476 and 310,392.50

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Solution

The third proportional to 204,476 and 310,392.50 is: 471,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476 : 310,392.50 = 310,392.50 : x
  2. Step 2: Convert to fraction form
    204,476/310,392.50 = 310,392.50/x
  3. Step 3: Cross multiply
    204,476x = 310,392.50 × 310,392.50
  4. Step 4: Simplify right side
    204,476x = 96,343,504,056.25
  5. Step 5: Solve for x
    x = 96,343,504,056.25/204,476
  6. Step 6: Final answer
    x = 471,172.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.