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Finding the Third Proportional to 148,028 and 325,582

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Solution

The third proportional to 148,028 and 325,582 is: 716,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,028 : 325,582 = 325,582 : x
  2. Step 2: Convert to fraction form
    148,028/325,582 = 325,582/x
  3. Step 3: Cross multiply
    148,028x = 325,582 × 325,582
  4. Step 4: Simplify right side
    148,028x = 106,003,638,724
  5. Step 5: Solve for x
    x = 106,003,638,724/148,028
  6. Step 6: Final answer
    x = 716,105.32

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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.