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Finding the Third Proportional to 170,902 and 373,968

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Solution

The third proportional to 170,902 and 373,968 is: 818,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,902 : 373,968 = 373,968 : x
  2. Step 2: Convert to fraction form
    170,902/373,968 = 373,968/x
  3. Step 3: Cross multiply
    170,902x = 373,968 × 373,968
  4. Step 4: Simplify right side
    170,902x = 139,852,065,024
  5. Step 5: Solve for x
    x = 139,852,065,024/170,902
  6. Step 6: Final answer
    x = 818,317.31

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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.