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Finding the Third Proportional to 184,234.50 and 402,813

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Solution

The third proportional to 184,234.50 and 402,813 is: 880,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,234.50 : 402,813 = 402,813 : x
  2. Step 2: Convert to fraction form
    184,234.50/402,813 = 402,813/x
  3. Step 3: Cross multiply
    184,234.50x = 402,813 × 402,813
  4. Step 4: Simplify right side
    184,234.50x = 162,258,312,969
  5. Step 5: Solve for x
    x = 162,258,312,969/184,234.50
  6. Step 6: Final answer
    x = 880,716.22

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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.