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Finding the Third Proportional to 155,927.25 and 241,342.88

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Solution

The third proportional to 155,927.25 and 241,342.88 is: 373,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,927.25 : 241,342.88 = 241,342.88 : x
  2. Step 2: Convert to fraction form
    155,927.25/241,342.88 = 241,342.88/x
  3. Step 3: Cross multiply
    155,927.25x = 241,342.88 × 241,342.88
  4. Step 4: Simplify right side
    155,927.25x = 58,246,383,313.27
  5. Step 5: Solve for x
    x = 58,246,383,313.27/155,927.25
  6. Step 6: Final answer
    x = 373,548.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.