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Finding the Third Proportional to 188,628 and 412,236

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Solution

The third proportional to 188,628 and 412,236 is: 900,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,628 : 412,236 = 412,236 : x
  2. Step 2: Convert to fraction form
    188,628/412,236 = 412,236/x
  3. Step 3: Cross multiply
    188,628x = 412,236 × 412,236
  4. Step 4: Simplify right side
    188,628x = 169,938,519,696
  5. Step 5: Solve for x
    x = 169,938,519,696/188,628
  6. Step 6: Final answer
    x = 900,918.84

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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.