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Finding the Third Proportional to 183,529.69 and 258,454.69

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Solution

The third proportional to 183,529.69 and 258,454.69 is: 363,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,529.69 : 258,454.69 = 258,454.69 : x
  2. Step 2: Convert to fraction form
    183,529.69/258,454.69 = 258,454.69/x
  3. Step 3: Cross multiply
    183,529.69x = 258,454.69 × 258,454.69
  4. Step 4: Simplify right side
    183,529.69x = 66,798,825,490.72
  5. Step 5: Solve for x
    x = 66,798,825,490.72/183,529.69
  6. Step 6: Final answer
    x = 363,967.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.