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Finding the Third Proportional to 201,745 and 303,488

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Solution

The third proportional to 201,745 and 303,488 is: 456,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,745 : 303,488 = 303,488 : x
  2. Step 2: Convert to fraction form
    201,745/303,488 = 303,488/x
  3. Step 3: Cross multiply
    201,745x = 303,488 × 303,488
  4. Step 4: Simplify right side
    201,745x = 92,104,966,144
  5. Step 5: Solve for x
    x = 92,104,966,144/201,745
  6. Step 6: Final answer
    x = 456,541.51

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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.