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Finding the Third Proportional to 201,669 and 254,862

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Solution

The third proportional to 201,669 and 254,862 is: 322,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,669 : 254,862 = 254,862 : x
  2. Step 2: Convert to fraction form
    201,669/254,862 = 254,862/x
  3. Step 3: Cross multiply
    201,669x = 254,862 × 254,862
  4. Step 4: Simplify right side
    201,669x = 64,954,639,044
  5. Step 5: Solve for x
    x = 64,954,639,044/201,669
  6. Step 6: Final answer
    x = 322,085.39

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.