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Finding the Third Proportional to 202,362 and 306,568

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Solution

The third proportional to 202,362 and 306,568 is: 464,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362 : 306,568 = 306,568 : x
  2. Step 2: Convert to fraction form
    202,362/306,568 = 306,568/x
  3. Step 3: Cross multiply
    202,362x = 306,568 × 306,568
  4. Step 4: Simplify right side
    202,362x = 93,983,938,624
  5. Step 5: Solve for x
    x = 93,983,938,624/202,362
  6. Step 6: Final answer
    x = 464,434.72

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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.