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Finding the Third Proportional to 107,827 and 233,979

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Solution

The third proportional to 107,827 and 233,979 is: 507,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,827 : 233,979 = 233,979 : x
  2. Step 2: Convert to fraction form
    107,827/233,979 = 233,979/x
  3. Step 3: Cross multiply
    107,827x = 233,979 × 233,979
  4. Step 4: Simplify right side
    107,827x = 54,746,172,441
  5. Step 5: Solve for x
    x = 54,746,172,441/107,827
  6. Step 6: Final answer
    x = 507,722.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.