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Finding the Third Proportional to 201,390.75 and 282,291.75

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Solution

The third proportional to 201,390.75 and 282,291.75 is: 395,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,390.75 : 282,291.75 = 282,291.75 : x
  2. Step 2: Convert to fraction form
    201,390.75/282,291.75 = 282,291.75/x
  3. Step 3: Cross multiply
    201,390.75x = 282,291.75 × 282,291.75
  4. Step 4: Simplify right side
    201,390.75x = 79,688,632,118.06
  5. Step 5: Solve for x
    x = 79,688,632,118.06/201,390.75
  6. Step 6: Final answer
    x = 395,691.62

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