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Finding the Third Proportional to 153,608 and 225,900

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Solution

The third proportional to 153,608 and 225,900 is: 332,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,608 : 225,900 = 225,900 : x
  2. Step 2: Convert to fraction form
    153,608/225,900 = 225,900/x
  3. Step 3: Cross multiply
    153,608x = 225,900 × 225,900
  4. Step 4: Simplify right side
    153,608x = 51,030,810,000
  5. Step 5: Solve for x
    x = 51,030,810,000/153,608
  6. Step 6: Final answer
    x = 332,214.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.