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Finding the Third Proportional to 201,363 and 302,025

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Solution

The third proportional to 201,363 and 302,025 is: 453,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,363 : 302,025 = 302,025 : x
  2. Step 2: Convert to fraction form
    201,363/302,025 = 302,025/x
  3. Step 3: Cross multiply
    201,363x = 302,025 × 302,025
  4. Step 4: Simplify right side
    201,363x = 91,219,100,625
  5. Step 5: Solve for x
    x = 91,219,100,625/201,363
  6. Step 6: Final answer
    x = 453,008.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.