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Finding the Third Proportional to 164,275.50 and 353,091.75

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Solution

The third proportional to 164,275.50 and 353,091.75 is: 758,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,275.50 : 353,091.75 = 353,091.75 : x
  2. Step 2: Convert to fraction form
    164,275.50/353,091.75 = 353,091.75/x
  3. Step 3: Cross multiply
    164,275.50x = 353,091.75 × 353,091.75
  4. Step 4: Simplify right side
    164,275.50x = 124,673,783,918.06
  5. Step 5: Solve for x
    x = 124,673,783,918.06/164,275.50
  6. Step 6: Final answer
    x = 758,931.09

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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.