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Finding the Third Proportional to 148,078 and 325,666

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Solution

The third proportional to 148,078 and 325,666 is: 716,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,078 : 325,666 = 325,666 : x
  2. Step 2: Convert to fraction form
    148,078/325,666 = 325,666/x
  3. Step 3: Cross multiply
    148,078x = 325,666 × 325,666
  4. Step 4: Simplify right side
    148,078x = 106,058,343,556
  5. Step 5: Solve for x
    x = 106,058,343,556/148,078
  6. Step 6: Final answer
    x = 716,232.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.