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Finding the Third Proportional to 118,442.25 and 241,643.25

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Solution

The third proportional to 118,442.25 and 241,643.25 is: 492,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,442.25 : 241,643.25 = 241,643.25 : x
  2. Step 2: Convert to fraction form
    118,442.25/241,643.25 = 241,643.25/x
  3. Step 3: Cross multiply
    118,442.25x = 241,643.25 × 241,643.25
  4. Step 4: Simplify right side
    118,442.25x = 58,391,460,270.56
  5. Step 5: Solve for x
    x = 58,391,460,270.56/118,442.25
  6. Step 6: Final answer
    x = 492,995.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.