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Finding the Third Proportional to 202,652 and 314,568

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Solution

The third proportional to 202,652 and 314,568 is: 488,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652 : 314,568 = 314,568 : x
  2. Step 2: Convert to fraction form
    202,652/314,568 = 314,568/x
  3. Step 3: Cross multiply
    202,652x = 314,568 × 314,568
  4. Step 4: Simplify right side
    202,652x = 98,953,026,624
  5. Step 5: Solve for x
    x = 98,953,026,624/202,652
  6. Step 6: Final answer
    x = 488,290.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.