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Finding the Third Proportional to 164,200.50 and 354,051

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Solution

The third proportional to 164,200.50 and 354,051 is: 763,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200.50 : 354,051 = 354,051 : x
  2. Step 2: Convert to fraction form
    164,200.50/354,051 = 354,051/x
  3. Step 3: Cross multiply
    164,200.50x = 354,051 × 354,051
  4. Step 4: Simplify right side
    164,200.50x = 125,352,110,601
  5. Step 5: Solve for x
    x = 125,352,110,601/164,200.50
  6. Step 6: Final answer
    x = 763,408.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.