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Finding the Third Proportional to 184,289.25 and 401,926.50

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Solution

The third proportional to 184,289.25 and 401,926.50 is: 876,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,289.25 : 401,926.50 = 401,926.50 : x
  2. Step 2: Convert to fraction form
    184,289.25/401,926.50 = 401,926.50/x
  3. Step 3: Cross multiply
    184,289.25x = 401,926.50 × 401,926.50
  4. Step 4: Simplify right side
    184,289.25x = 161,544,911,402.25
  5. Step 5: Solve for x
    x = 161,544,911,402.25/184,289.25
  6. Step 6: Final answer
    x = 876,583.48

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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.