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Finding the Third Proportional to 183,468 and 258,363.75

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Solution

The third proportional to 183,468 and 258,363.75 is: 363,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,468 : 258,363.75 = 258,363.75 : x
  2. Step 2: Convert to fraction form
    183,468/258,363.75 = 258,363.75/x
  3. Step 3: Cross multiply
    183,468x = 258,363.75 × 258,363.75
  4. Step 4: Simplify right side
    183,468x = 66,751,827,314.06
  5. Step 5: Solve for x
    x = 66,751,827,314.06/183,468
  6. Step 6: Final answer
    x = 363,833.62

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