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Finding the Third Proportional to 202,244 and 306,152

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Solution

The third proportional to 202,244 and 306,152 is: 463,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,244 : 306,152 = 306,152 : x
  2. Step 2: Convert to fraction form
    202,244/306,152 = 306,152/x
  3. Step 3: Cross multiply
    202,244x = 306,152 × 306,152
  4. Step 4: Simplify right side
    202,244x = 93,729,047,104
  5. Step 5: Solve for x
    x = 93,729,047,104/202,244
  6. Step 6: Final answer
    x = 463,445.38

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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.