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Finding the Third Proportional to 148,610.50 and 321,461

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Solution

The third proportional to 148,610.50 and 321,461 is: 695,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,610.50 : 321,461 = 321,461 : x
  2. Step 2: Convert to fraction form
    148,610.50/321,461 = 321,461/x
  3. Step 3: Cross multiply
    148,610.50x = 321,461 × 321,461
  4. Step 4: Simplify right side
    148,610.50x = 103,337,174,521
  5. Step 5: Solve for x
    x = 103,337,174,521/148,610.50
  6. Step 6: Final answer
    x = 695,355.81

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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.