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Finding the Third Proportional to 202,642 and 469,121

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Solution

The third proportional to 202,642 and 469,121 is: 1,086,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642 : 469,121 = 469,121 : x
  2. Step 2: Convert to fraction form
    202,642/469,121 = 469,121/x
  3. Step 3: Cross multiply
    202,642x = 469,121 × 469,121
  4. Step 4: Simplify right side
    202,642x = 220,074,512,641
  5. Step 5: Solve for x
    x = 220,074,512,641/202,642
  6. Step 6: Final answer
    x = 1,086,026.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.