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Finding the Third Proportional to 203,348 and 306,622

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Solution

The third proportional to 203,348 and 306,622 is: 462,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,348 : 306,622 = 306,622 : x
  2. Step 2: Convert to fraction form
    203,348/306,622 = 306,622/x
  3. Step 3: Cross multiply
    203,348x = 306,622 × 306,622
  4. Step 4: Simplify right side
    203,348x = 94,017,050,884
  5. Step 5: Solve for x
    x = 94,017,050,884/203,348
  6. Step 6: Final answer
    x = 462,345.59

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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.