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Finding the Third Proportional to 164,114.25 and 353,337.75

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Solution

The third proportional to 164,114.25 and 353,337.75 is: 760,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114.25 : 353,337.75 = 353,337.75 : x
  2. Step 2: Convert to fraction form
    164,114.25/353,337.75 = 353,337.75/x
  3. Step 3: Cross multiply
    164,114.25x = 353,337.75 × 353,337.75
  4. Step 4: Simplify right side
    164,114.25x = 124,847,565,575.06
  5. Step 5: Solve for x
    x = 124,847,565,575.06/164,114.25
  6. Step 6: Final answer
    x = 760,735.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.