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Finding the Third Proportional to 182,401.88 and 426,039.75

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Solution

The third proportional to 182,401.88 and 426,039.75 is: 995,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,401.88 : 426,039.75 = 426,039.75 : x
  2. Step 2: Convert to fraction form
    182,401.88/426,039.75 = 426,039.75/x
  3. Step 3: Cross multiply
    182,401.88x = 426,039.75 × 426,039.75
  4. Step 4: Simplify right side
    182,401.88x = 181,509,868,580.06
  5. Step 5: Solve for x
    x = 181,509,868,580.06/182,401.88
  6. Step 6: Final answer
    x = 995,109.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.