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Finding the Third Proportional to 157,190.63 and 241,908.40

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Solution

The third proportional to 157,190.63 and 241,908.40 is: 372,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,190.63 : 241,908.40 = 241,908.40 : x
  2. Step 2: Convert to fraction form
    157,190.63/241,908.40 = 241,908.40/x
  3. Step 3: Cross multiply
    157,190.63x = 241,908.40 × 241,908.40
  4. Step 4: Simplify right side
    157,190.63x = 58,519,673,234.60
  5. Step 5: Solve for x
    x = 58,519,673,234.60/157,190.63
  6. Step 6: Final answer
    x = 372,284.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.