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Finding the Third Proportional to 133,027.31 and 210,620.25

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Solution

The third proportional to 133,027.31 and 210,620.25 is: 333,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027.31 : 210,620.25 = 210,620.25 : x
  2. Step 2: Convert to fraction form
    133,027.31/210,620.25 = 210,620.25/x
  3. Step 3: Cross multiply
    133,027.31x = 210,620.25 × 210,620.25
  4. Step 4: Simplify right side
    133,027.31x = 44,360,889,710.06
  5. Step 5: Solve for x
    x = 44,360,889,710.06/133,027.31
  6. Step 6: Final answer
    x = 333,472.04

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.