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Finding the Third Proportional to 201,748 and 303,492

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Solution

The third proportional to 201,748 and 303,492 is: 456,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748 : 303,492 = 303,492 : x
  2. Step 2: Convert to fraction form
    201,748/303,492 = 303,492/x
  3. Step 3: Cross multiply
    201,748x = 303,492 × 303,492
  4. Step 4: Simplify right side
    201,748x = 92,107,394,064
  5. Step 5: Solve for x
    x = 92,107,394,064/201,748
  6. Step 6: Final answer
    x = 456,546.75

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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.