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Finding the Third Proportional to 115,120.41 and 235,946.25

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Solution

The third proportional to 115,120.41 and 235,946.25 is: 483,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,120.41 : 235,946.25 = 235,946.25 : x
  2. Step 2: Convert to fraction form
    115,120.41/235,946.25 = 235,946.25/x
  3. Step 3: Cross multiply
    115,120.41x = 235,946.25 × 235,946.25
  4. Step 4: Simplify right side
    115,120.41x = 55,670,632,889.06
  5. Step 5: Solve for x
    x = 55,670,632,889.06/115,120.41
  6. Step 6: Final answer
    x = 483,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.