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Finding the Third Proportional to 107,078 and 229,322

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Solution

The third proportional to 107,078 and 229,322 is: 491,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,078 : 229,322 = 229,322 : x
  2. Step 2: Convert to fraction form
    107,078/229,322 = 229,322/x
  3. Step 3: Cross multiply
    107,078x = 229,322 × 229,322
  4. Step 4: Simplify right side
    107,078x = 52,588,579,684
  5. Step 5: Solve for x
    x = 52,588,579,684/107,078
  6. Step 6: Final answer
    x = 491,124.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.