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Finding the Third Proportional to 164,221.50 and 353,772

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Solution

The third proportional to 164,221.50 and 353,772 is: 762,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,221.50 : 353,772 = 353,772 : x
  2. Step 2: Convert to fraction form
    164,221.50/353,772 = 353,772/x
  3. Step 3: Cross multiply
    164,221.50x = 353,772 × 353,772
  4. Step 4: Simplify right side
    164,221.50x = 125,154,627,984
  5. Step 5: Solve for x
    x = 125,154,627,984/164,221.50
  6. Step 6: Final answer
    x = 762,108.66

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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.