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Finding the Third Proportional to 201,558 and 297,723

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Solution

The third proportional to 201,558 and 297,723 is: 439,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,558 : 297,723 = 297,723 : x
  2. Step 2: Convert to fraction form
    201,558/297,723 = 297,723/x
  3. Step 3: Cross multiply
    201,558x = 297,723 × 297,723
  4. Step 4: Simplify right side
    201,558x = 88,638,984,729
  5. Step 5: Solve for x
    x = 88,638,984,729/201,558
  6. Step 6: Final answer
    x = 439,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.