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Finding the Third Proportional to 110,767.75 and 242,978.75

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Solution

The third proportional to 110,767.75 and 242,978.75 is: 532,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,767.75 : 242,978.75 = 242,978.75 : x
  2. Step 2: Convert to fraction form
    110,767.75/242,978.75 = 242,978.75/x
  3. Step 3: Cross multiply
    110,767.75x = 242,978.75 × 242,978.75
  4. Step 4: Simplify right side
    110,767.75x = 59,038,672,951.56
  5. Step 5: Solve for x
    x = 59,038,672,951.56/110,767.75
  6. Step 6: Final answer
    x = 532,995.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.