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Finding the Third Proportional to 201,497.63 and 282,426.75

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Solution

The third proportional to 201,497.63 and 282,426.75 is: 395,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.63 : 282,426.75 = 282,426.75 : x
  2. Step 2: Convert to fraction form
    201,497.63/282,426.75 = 282,426.75/x
  3. Step 3: Cross multiply
    201,497.63x = 282,426.75 × 282,426.75
  4. Step 4: Simplify right side
    201,497.63x = 79,764,869,115.56
  5. Step 5: Solve for x
    x = 79,764,869,115.56/201,497.63
  6. Step 6: Final answer
    x = 395,860.10

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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.