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Finding the Third Proportional to 128,533.50 and 205,254

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Solution

The third proportional to 128,533.50 and 205,254 is: 327,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,533.50 : 205,254 = 205,254 : x
  2. Step 2: Convert to fraction form
    128,533.50/205,254 = 205,254/x
  3. Step 3: Cross multiply
    128,533.50x = 205,254 × 205,254
  4. Step 4: Simplify right side
    128,533.50x = 42,129,204,516
  5. Step 5: Solve for x
    x = 42,129,204,516/128,533.50
  6. Step 6: Final answer
    x = 327,768.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.