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Finding the Third Proportional to 204,753 and 309,994.50

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Solution

The third proportional to 204,753 and 309,994.50 is: 469,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,753 : 309,994.50 = 309,994.50 : x
  2. Step 2: Convert to fraction form
    204,753/309,994.50 = 309,994.50/x
  3. Step 3: Cross multiply
    204,753x = 309,994.50 × 309,994.50
  4. Step 4: Simplify right side
    204,753x = 96,096,590,030.25
  5. Step 5: Solve for x
    x = 96,096,590,030.25/204,753
  6. Step 6: Final answer
    x = 469,329.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.