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Finding the Third Proportional to 188,048 and 402,333

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Solution

The third proportional to 188,048 and 402,333 is: 860,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,048 : 402,333 = 402,333 : x
  2. Step 2: Convert to fraction form
    188,048/402,333 = 402,333/x
  3. Step 3: Cross multiply
    188,048x = 402,333 × 402,333
  4. Step 4: Simplify right side
    188,048x = 161,871,842,889
  5. Step 5: Solve for x
    x = 161,871,842,889/188,048
  6. Step 6: Final answer
    x = 860,800.66

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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.