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Finding the Third Proportional to 106,322 and 230,140

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Solution

The third proportional to 106,322 and 230,140 is: 498,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322 : 230,140 = 230,140 : x
  2. Step 2: Convert to fraction form
    106,322/230,140 = 230,140/x
  3. Step 3: Cross multiply
    106,322x = 230,140 × 230,140
  4. Step 4: Simplify right side
    106,322x = 52,964,419,600
  5. Step 5: Solve for x
    x = 52,964,419,600/106,322
  6. Step 6: Final answer
    x = 498,151.08

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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.