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Finding the Third Proportional to 164,488.50 and 353,925

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Solution

The third proportional to 164,488.50 and 353,925 is: 761,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,488.50 : 353,925 = 353,925 : x
  2. Step 2: Convert to fraction form
    164,488.50/353,925 = 353,925/x
  3. Step 3: Cross multiply
    164,488.50x = 353,925 × 353,925
  4. Step 4: Simplify right side
    164,488.50x = 125,262,905,625
  5. Step 5: Solve for x
    x = 125,262,905,625/164,488.50
  6. Step 6: Final answer
    x = 761,529.87

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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.