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Finding the Third Proportional to 201,602 and 300,459

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Solution

The third proportional to 201,602 and 300,459 is: 447,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602 : 300,459 = 300,459 : x
  2. Step 2: Convert to fraction form
    201,602/300,459 = 300,459/x
  3. Step 3: Cross multiply
    201,602x = 300,459 × 300,459
  4. Step 4: Simplify right side
    201,602x = 90,275,610,681
  5. Step 5: Solve for x
    x = 90,275,610,681/201,602
  6. Step 6: Final answer
    x = 447,791.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.