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Finding the Third Proportional to 122,762.25 and 264,296.25

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Solution

The third proportional to 122,762.25 and 264,296.25 is: 569,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762.25 : 264,296.25 = 264,296.25 : x
  2. Step 2: Convert to fraction form
    122,762.25/264,296.25 = 264,296.25/x
  3. Step 3: Cross multiply
    122,762.25x = 264,296.25 × 264,296.25
  4. Step 4: Simplify right side
    122,762.25x = 69,852,507,764.06
  5. Step 5: Solve for x
    x = 69,852,507,764.06/122,762.25
  6. Step 6: Final answer
    x = 569,006.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.