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Finding the Third Proportional to 184,534 and 284,685

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Solution

The third proportional to 184,534 and 284,685 is: 439,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,534 : 284,685 = 284,685 : x
  2. Step 2: Convert to fraction form
    184,534/284,685 = 284,685/x
  3. Step 3: Cross multiply
    184,534x = 284,685 × 284,685
  4. Step 4: Simplify right side
    184,534x = 81,045,549,225
  5. Step 5: Solve for x
    x = 81,045,549,225/184,534
  6. Step 6: Final answer
    x = 439,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.