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Finding the Third Proportional to 164,174.25 and 348,117.75

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Solution

The third proportional to 164,174.25 and 348,117.75 is: 738,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,174.25 : 348,117.75 = 348,117.75 : x
  2. Step 2: Convert to fraction form
    164,174.25/348,117.75 = 348,117.75/x
  3. Step 3: Cross multiply
    164,174.25x = 348,117.75 × 348,117.75
  4. Step 4: Simplify right side
    164,174.25x = 121,185,967,865.06
  5. Step 5: Solve for x
    x = 121,185,967,865.06/164,174.25
  6. Step 6: Final answer
    x = 738,154.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.