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Finding the Third Proportional to 203,268 and 306,402

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Solution

The third proportional to 203,268 and 306,402 is: 461,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,268 : 306,402 = 306,402 : x
  2. Step 2: Convert to fraction form
    203,268/306,402 = 306,402/x
  3. Step 3: Cross multiply
    203,268x = 306,402 × 306,402
  4. Step 4: Simplify right side
    203,268x = 93,882,185,604
  5. Step 5: Solve for x
    x = 93,882,185,604/203,268
  6. Step 6: Final answer
    x = 461,864.07

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Why These Related Problems?

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