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Finding the Third Proportional to 201,058.50 and 244,404

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Solution

The third proportional to 201,058.50 and 244,404 is: 297,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,058.50 : 244,404 = 244,404 : x
  2. Step 2: Convert to fraction form
    201,058.50/244,404 = 244,404/x
  3. Step 3: Cross multiply
    201,058.50x = 244,404 × 244,404
  4. Step 4: Simplify right side
    201,058.50x = 59,733,315,216
  5. Step 5: Solve for x
    x = 59,733,315,216/201,058.50
  6. Step 6: Final answer
    x = 297,094.21

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.