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Finding the Third Proportional to 107,998 and 236,984

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Solution

The third proportional to 107,998 and 236,984 is: 520,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,998 : 236,984 = 236,984 : x
  2. Step 2: Convert to fraction form
    107,998/236,984 = 236,984/x
  3. Step 3: Cross multiply
    107,998x = 236,984 × 236,984
  4. Step 4: Simplify right side
    107,998x = 56,161,416,256
  5. Step 5: Solve for x
    x = 56,161,416,256/107,998
  6. Step 6: Final answer
    x = 520,022.74

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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.