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Finding the Third Proportional to 183,465.25 and 258,358.75

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Solution

The third proportional to 183,465.25 and 258,358.75 is: 363,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,465.25 : 258,358.75 = 258,358.75 : x
  2. Step 2: Convert to fraction form
    183,465.25/258,358.75 = 258,358.75/x
  3. Step 3: Cross multiply
    183,465.25x = 258,358.75 × 258,358.75
  4. Step 4: Simplify right side
    183,465.25x = 66,749,243,701.56
  5. Step 5: Solve for x
    x = 66,749,243,701.56/183,465.25
  6. Step 6: Final answer
    x = 363,825.00

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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.