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Finding the Third Proportional to 233,128.13 and 349,692.19

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Solution

The third proportional to 233,128.13 and 349,692.19 is: 524,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,128.13 : 349,692.19 = 349,692.19 : x
  2. Step 2: Convert to fraction form
    233,128.13/349,692.19 = 349,692.19/x
  3. Step 3: Cross multiply
    233,128.13x = 349,692.19 × 349,692.19
  4. Step 4: Simplify right side
    233,128.13x = 122,284,625,998.54
  5. Step 5: Solve for x
    x = 122,284,625,998.54/233,128.13
  6. Step 6: Final answer
    x = 524,538.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.