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Finding the Third Proportional to 188,028 and 402,270

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Solution

The third proportional to 188,028 and 402,270 is: 860,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,028 : 402,270 = 402,270 : x
  2. Step 2: Convert to fraction form
    188,028/402,270 = 402,270/x
  3. Step 3: Cross multiply
    188,028x = 402,270 × 402,270
  4. Step 4: Simplify right side
    188,028x = 161,821,152,900
  5. Step 5: Solve for x
    x = 161,821,152,900/188,028
  6. Step 6: Final answer
    x = 860,622.64

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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.