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Finding the Third Proportional to 188,172 and 402,240

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Solution

The third proportional to 188,172 and 402,240 is: 859,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,172 : 402,240 = 402,240 : x
  2. Step 2: Convert to fraction form
    188,172/402,240 = 402,240/x
  3. Step 3: Cross multiply
    188,172x = 402,240 × 402,240
  4. Step 4: Simplify right side
    188,172x = 161,797,017,600
  5. Step 5: Solve for x
    x = 161,797,017,600/188,172
  6. Step 6: Final answer
    x = 859,835.78

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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.