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Finding the Third Proportional to 190,297 and 414,497

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Solution

The third proportional to 190,297 and 414,497 is: 902,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,297 : 414,497 = 414,497 : x
  2. Step 2: Convert to fraction form
    190,297/414,497 = 414,497/x
  3. Step 3: Cross multiply
    190,297x = 414,497 × 414,497
  4. Step 4: Simplify right side
    190,297x = 171,807,763,009
  5. Step 5: Solve for x
    x = 171,807,763,009/190,297
  6. Step 6: Final answer
    x = 902,840.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.