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Finding the Third Proportional to 148,918.50 and 321,160.50

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Solution

The third proportional to 148,918.50 and 321,160.50 is: 692,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,918.50 : 321,160.50 = 321,160.50 : x
  2. Step 2: Convert to fraction form
    148,918.50/321,160.50 = 321,160.50/x
  3. Step 3: Cross multiply
    148,918.50x = 321,160.50 × 321,160.50
  4. Step 4: Simplify right side
    148,918.50x = 103,144,066,760.25
  5. Step 5: Solve for x
    x = 103,144,066,760.25/148,918.50
  6. Step 6: Final answer
    x = 692,620.91

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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.