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Finding the Third Proportional to 201,490 and 302,267

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Solution

The third proportional to 201,490 and 302,267 is: 453,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,490 : 302,267 = 302,267 : x
  2. Step 2: Convert to fraction form
    201,490/302,267 = 302,267/x
  3. Step 3: Cross multiply
    201,490x = 302,267 × 302,267
  4. Step 4: Simplify right side
    201,490x = 91,365,339,289
  5. Step 5: Solve for x
    x = 91,365,339,289/201,490
  6. Step 6: Final answer
    x = 453,448.51

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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.