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Finding the Third Proportional to 184,610 and 403,390

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Solution

The third proportional to 184,610 and 403,390 is: 881,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,610 : 403,390 = 403,390 : x
  2. Step 2: Convert to fraction form
    184,610/403,390 = 403,390/x
  3. Step 3: Cross multiply
    184,610x = 403,390 × 403,390
  4. Step 4: Simplify right side
    184,610x = 162,723,492,100
  5. Step 5: Solve for x
    x = 162,723,492,100/184,610
  6. Step 6: Final answer
    x = 881,444.62

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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.