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Finding the Third Proportional to 183,467.94 and 258,363.19

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Solution

The third proportional to 183,467.94 and 258,363.19 is: 363,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,467.94 : 258,363.19 = 258,363.19 : x
  2. Step 2: Convert to fraction form
    183,467.94/258,363.19 = 258,363.19/x
  3. Step 3: Cross multiply
    183,467.94x = 258,363.19 × 258,363.19
  4. Step 4: Simplify right side
    183,467.94x = 66,751,536,655.16
  5. Step 5: Solve for x
    x = 66,751,536,655.16/183,467.94
  6. Step 6: Final answer
    x = 363,832.16

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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.