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Finding the Third Proportional to 282,250 and 401,199

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Solution

The third proportional to 282,250 and 401,199 is: 570,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,250 : 401,199 = 401,199 : x
  2. Step 2: Convert to fraction form
    282,250/401,199 = 401,199/x
  3. Step 3: Cross multiply
    282,250x = 401,199 × 401,199
  4. Step 4: Simplify right side
    282,250x = 160,960,637,601
  5. Step 5: Solve for x
    x = 160,960,637,601/282,250
  6. Step 6: Final answer
    x = 570,276.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.