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Finding the Third Proportional to 122,293.69 and 262,666.69

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Solution

The third proportional to 122,293.69 and 262,666.69 is: 564,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,293.69 : 262,666.69 = 262,666.69 : x
  2. Step 2: Convert to fraction form
    122,293.69/262,666.69 = 262,666.69/x
  3. Step 3: Cross multiply
    122,293.69x = 262,666.69 × 262,666.69
  4. Step 4: Simplify right side
    122,293.69x = 68,993,788,722.22
  5. Step 5: Solve for x
    x = 68,993,788,722.22/122,293.69
  6. Step 6: Final answer
    x = 564,164.76

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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.