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Finding the Third Proportional to 184,603 and 402,558

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Solution

The third proportional to 184,603 and 402,558 is: 877,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,603 : 402,558 = 402,558 : x
  2. Step 2: Convert to fraction form
    184,603/402,558 = 402,558/x
  3. Step 3: Cross multiply
    184,603x = 402,558 × 402,558
  4. Step 4: Simplify right side
    184,603x = 162,052,943,364
  5. Step 5: Solve for x
    x = 162,052,943,364/184,603
  6. Step 6: Final answer
    x = 877,845.67

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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.