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Finding the Third Proportional to 174,421.69 and 262,999.69

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Solution

The third proportional to 174,421.69 and 262,999.69 is: 396,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,421.69 : 262,999.69 = 262,999.69 : x
  2. Step 2: Convert to fraction form
    174,421.69/262,999.69 = 262,999.69/x
  3. Step 3: Cross multiply
    174,421.69x = 262,999.69 × 262,999.69
  4. Step 4: Simplify right side
    174,421.69x = 69,168,835,625.10
  5. Step 5: Solve for x
    x = 69,168,835,625.10/174,421.69
  6. Step 6: Final answer
    x = 396,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.