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Finding the Third Proportional to 201,411 and 282,338

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Solution

The third proportional to 201,411 and 282,338 is: 395,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411 : 282,338 = 282,338 : x
  2. Step 2: Convert to fraction form
    201,411/282,338 = 282,338/x
  3. Step 3: Cross multiply
    201,411x = 282,338 × 282,338
  4. Step 4: Simplify right side
    201,411x = 79,714,746,244
  5. Step 5: Solve for x
    x = 79,714,746,244/201,411
  6. Step 6: Final answer
    x = 395,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.