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Finding the Third Proportional to 203,262 and 306,391

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Solution

The third proportional to 203,262 and 306,391 is: 461,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,262 : 306,391 = 306,391 : x
  2. Step 2: Convert to fraction form
    203,262/306,391 = 306,391/x
  3. Step 3: Cross multiply
    203,262x = 306,391 × 306,391
  4. Step 4: Simplify right side
    203,262x = 93,875,444,881
  5. Step 5: Solve for x
    x = 93,875,444,881/203,262
  6. Step 6: Final answer
    x = 461,844.54

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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.