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Finding the Third Proportional to 122,024.81 and 264,807.56

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Solution

The third proportional to 122,024.81 and 264,807.56 is: 574,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,024.81 : 264,807.56 = 264,807.56 : x
  2. Step 2: Convert to fraction form
    122,024.81/264,807.56 = 264,807.56/x
  3. Step 3: Cross multiply
    122,024.81x = 264,807.56 × 264,807.56
  4. Step 4: Simplify right side
    122,024.81x = 70,123,045,157.19
  5. Step 5: Solve for x
    x = 70,123,045,157.19/122,024.81
  6. Step 6: Final answer
    x = 574,662.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.