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Finding the Third Proportional to 129,268.13 and 279,292.50

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Solution

The third proportional to 129,268.13 and 279,292.50 is: 603,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,268.13 : 279,292.50 = 279,292.50 : x
  2. Step 2: Convert to fraction form
    129,268.13/279,292.50 = 279,292.50/x
  3. Step 3: Cross multiply
    129,268.13x = 279,292.50 × 279,292.50
  4. Step 4: Simplify right side
    129,268.13x = 78,004,300,556.25
  5. Step 5: Solve for x
    x = 78,004,300,556.25/129,268.13
  6. Step 6: Final answer
    x = 603,430.28

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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.