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Finding the Third Proportional to 187,264.50 and 409,563

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Solution

The third proportional to 187,264.50 and 409,563 is: 895,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,264.50 : 409,563 = 409,563 : x
  2. Step 2: Convert to fraction form
    187,264.50/409,563 = 409,563/x
  3. Step 3: Cross multiply
    187,264.50x = 409,563 × 409,563
  4. Step 4: Simplify right side
    187,264.50x = 167,741,850,969
  5. Step 5: Solve for x
    x = 167,741,850,969/187,264.50
  6. Step 6: Final answer
    x = 895,748.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.