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Finding the Third Proportional to 122,266.13 and 252,389.25

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Solution

The third proportional to 122,266.13 and 252,389.25 is: 520,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,266.13 : 252,389.25 = 252,389.25 : x
  2. Step 2: Convert to fraction form
    122,266.13/252,389.25 = 252,389.25/x
  3. Step 3: Cross multiply
    122,266.13x = 252,389.25 × 252,389.25
  4. Step 4: Simplify right side
    122,266.13x = 63,700,333,515.56
  5. Step 5: Solve for x
    x = 63,700,333,515.56/122,266.13
  6. Step 6: Final answer
    x = 520,997.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.