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Finding the Third Proportional to 204,043 and 306,066

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Solution

The third proportional to 204,043 and 306,066 is: 459,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,043 : 306,066 = 306,066 : x
  2. Step 2: Convert to fraction form
    204,043/306,066 = 306,066/x
  3. Step 3: Cross multiply
    204,043x = 306,066 × 306,066
  4. Step 4: Simplify right side
    204,043x = 93,676,396,356
  5. Step 5: Solve for x
    x = 93,676,396,356/204,043
  6. Step 6: Final answer
    x = 459,101.25

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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.