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Finding the Third Proportional to 121,305.94 and 263,228.06

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Solution

The third proportional to 121,305.94 and 263,228.06 is: 571,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,305.94 : 263,228.06 = 263,228.06 : x
  2. Step 2: Convert to fraction form
    121,305.94/263,228.06 = 263,228.06/x
  3. Step 3: Cross multiply
    121,305.94x = 263,228.06 × 263,228.06
  4. Step 4: Simplify right side
    121,305.94x = 69,289,012,887.50
  5. Step 5: Solve for x
    x = 69,289,012,887.50/121,305.94
  6. Step 6: Final answer
    x = 571,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.