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Finding the Third Proportional to 183,530.25 and 258,454.13

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Solution

The third proportional to 183,530.25 and 258,454.13 is: 363,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,530.25 : 258,454.13 = 258,454.13 : x
  2. Step 2: Convert to fraction form
    183,530.25/258,454.13 = 258,454.13/x
  3. Step 3: Cross multiply
    183,530.25x = 258,454.13 × 258,454.13
  4. Step 4: Simplify right side
    183,530.25x = 66,798,534,729.52
  5. Step 5: Solve for x
    x = 66,798,534,729.52/183,530.25
  6. Step 6: Final answer
    x = 363,964.71

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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.