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Finding the Third Proportional to 183,609 and 332,619.75

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Solution

The third proportional to 183,609 and 332,619.75 is: 602,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,609 : 332,619.75 = 332,619.75 : x
  2. Step 2: Convert to fraction form
    183,609/332,619.75 = 332,619.75/x
  3. Step 3: Cross multiply
    183,609x = 332,619.75 × 332,619.75
  4. Step 4: Simplify right side
    183,609x = 110,635,898,090.06
  5. Step 5: Solve for x
    x = 110,635,898,090.06/183,609
  6. Step 6: Final answer
    x = 602,562.50

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.