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Finding the Third Proportional to 131,295.94 and 288,122.06

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Solution

The third proportional to 131,295.94 and 288,122.06 is: 632,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,295.94 : 288,122.06 = 288,122.06 : x
  2. Step 2: Convert to fraction form
    131,295.94/288,122.06 = 288,122.06/x
  3. Step 3: Cross multiply
    131,295.94x = 288,122.06 × 288,122.06
  4. Step 4: Simplify right side
    131,295.94x = 83,014,322,899.25
  5. Step 5: Solve for x
    x = 83,014,322,899.25/131,295.94
  6. Step 6: Final answer
    x = 632,268.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.