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Finding the Third Proportional to 148,159.13 and 320,014.13

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Solution

The third proportional to 148,159.13 and 320,014.13 is: 691,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,159.13 : 320,014.13 = 320,014.13 : x
  2. Step 2: Convert to fraction form
    148,159.13/320,014.13 = 320,014.13/x
  3. Step 3: Cross multiply
    148,159.13x = 320,014.13 × 320,014.13
  4. Step 4: Simplify right side
    148,159.13x = 102,409,040,199.52
  5. Step 5: Solve for x
    x = 102,409,040,199.52/148,159.13
  6. Step 6: Final answer
    x = 691,209.81

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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.