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Finding the Third Proportional to 202,712 and 317,990

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Solution

The third proportional to 202,712 and 317,990 is: 498,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712 : 317,990 = 317,990 : x
  2. Step 2: Convert to fraction form
    202,712/317,990 = 317,990/x
  3. Step 3: Cross multiply
    202,712x = 317,990 × 317,990
  4. Step 4: Simplify right side
    202,712x = 101,117,640,100
  5. Step 5: Solve for x
    x = 101,117,640,100/202,712
  6. Step 6: Final answer
    x = 498,824.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.