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Finding the Third Proportional to 148,534 and 320,741

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Solution

The third proportional to 148,534 and 320,741 is: 692,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,534 : 320,741 = 320,741 : x
  2. Step 2: Convert to fraction form
    148,534/320,741 = 320,741/x
  3. Step 3: Cross multiply
    148,534x = 320,741 × 320,741
  4. Step 4: Simplify right side
    148,534x = 102,874,789,081
  5. Step 5: Solve for x
    x = 102,874,789,081/148,534
  6. Step 6: Final answer
    x = 692,600.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.