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Finding the Third Proportional to 148,028.77 and 349,209.98

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Solution

The third proportional to 148,028.77 and 349,209.98 is: 823,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,028.77 : 349,209.98 = 349,209.98 : x
  2. Step 2: Convert to fraction form
    148,028.77/349,209.98 = 349,209.98/x
  3. Step 3: Cross multiply
    148,028.77x = 349,209.98 × 349,209.98
  4. Step 4: Simplify right side
    148,028.77x = 121,947,613,187.19
  5. Step 5: Solve for x
    x = 121,947,613,187.19/148,028.77
  6. Step 6: Final answer
    x = 823,810.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.