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Finding the Third Proportional to 111,333 and 242,647

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Solution

The third proportional to 111,333 and 242,647 is: 528,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,333 : 242,647 = 242,647 : x
  2. Step 2: Convert to fraction form
    111,333/242,647 = 242,647/x
  3. Step 3: Cross multiply
    111,333x = 242,647 × 242,647
  4. Step 4: Simplify right side
    111,333x = 58,877,566,609
  5. Step 5: Solve for x
    x = 58,877,566,609/111,333
  6. Step 6: Final answer
    x = 528,842.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.