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Finding the Third Proportional to 190,592 and 405,835

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Solution

The third proportional to 190,592 and 405,835 is: 864,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,592 : 405,835 = 405,835 : x
  2. Step 2: Convert to fraction form
    190,592/405,835 = 405,835/x
  3. Step 3: Cross multiply
    190,592x = 405,835 × 405,835
  4. Step 4: Simplify right side
    190,592x = 164,702,047,225
  5. Step 5: Solve for x
    x = 164,702,047,225/190,592
  6. Step 6: Final answer
    x = 864,160.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.