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Finding the Third Proportional to 170,904.94 and 374,022.56

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Solution

The third proportional to 170,904.94 and 374,022.56 is: 818,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,904.94 : 374,022.56 = 374,022.56 : x
  2. Step 2: Convert to fraction form
    170,904.94/374,022.56 = 374,022.56/x
  3. Step 3: Cross multiply
    170,904.94x = 374,022.56 × 374,022.56
  4. Step 4: Simplify right side
    170,904.94x = 139,892,877,259.07
  5. Step 5: Solve for x
    x = 139,892,877,259.07/170,904.94
  6. Step 6: Final answer
    x = 818,542.05

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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.