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Finding the Third Proportional to 110,921 and 242,833

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Solution

The third proportional to 110,921 and 242,833 is: 531,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,921 : 242,833 = 242,833 : x
  2. Step 2: Convert to fraction form
    110,921/242,833 = 242,833/x
  3. Step 3: Cross multiply
    110,921x = 242,833 × 242,833
  4. Step 4: Simplify right side
    110,921x = 58,967,865,889
  5. Step 5: Solve for x
    x = 58,967,865,889/110,921
  6. Step 6: Final answer
    x = 531,620.40

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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.