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Finding the Third Proportional to 157,515.75 and 242,105.63

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Solution

The third proportional to 157,515.75 and 242,105.63 is: 372,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,515.75 : 242,105.63 = 242,105.63 : x
  2. Step 2: Convert to fraction form
    157,515.75/242,105.63 = 242,105.63/x
  3. Step 3: Cross multiply
    157,515.75x = 242,105.63 × 242,105.63
  4. Step 4: Simplify right side
    157,515.75x = 58,615,133,656.64
  5. Step 5: Solve for x
    x = 58,615,133,656.64/157,515.75
  6. Step 6: Final answer
    x = 372,122.37

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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.