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Finding the Third Proportional to 109,998 and 241,011

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Solution

The third proportional to 109,998 and 241,011 is: 528,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,998 : 241,011 = 241,011 : x
  2. Step 2: Convert to fraction form
    109,998/241,011 = 241,011/x
  3. Step 3: Cross multiply
    109,998x = 241,011 × 241,011
  4. Step 4: Simplify right side
    109,998x = 58,086,302,121
  5. Step 5: Solve for x
    x = 58,086,302,121/109,998
  6. Step 6: Final answer
    x = 528,066.89

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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.