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Finding the Third Proportional to 111,904 and 241,681

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Solution

The third proportional to 111,904 and 241,681 is: 521,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904 : 241,681 = 241,681 : x
  2. Step 2: Convert to fraction form
    111,904/241,681 = 241,681/x
  3. Step 3: Cross multiply
    111,904x = 241,681 × 241,681
  4. Step 4: Simplify right side
    111,904x = 58,409,705,761
  5. Step 5: Solve for x
    x = 58,409,705,761/111,904
  6. Step 6: Final answer
    x = 521,962.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.