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Finding the Third Proportional to 151,588.13 and 252,630.56

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Solution

The third proportional to 151,588.13 and 252,630.56 is: 421,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,588.13 : 252,630.56 = 252,630.56 : x
  2. Step 2: Convert to fraction form
    151,588.13/252,630.56 = 252,630.56/x
  3. Step 3: Cross multiply
    151,588.13x = 252,630.56 × 252,630.56
  4. Step 4: Simplify right side
    151,588.13x = 63,822,201,109.07
  5. Step 5: Solve for x
    x = 63,822,201,109.07/151,588.13
  6. Step 6: Final answer
    x = 421,023.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.