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Finding the Third Proportional to 184,398 and 284,785

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Solution

The third proportional to 184,398 and 284,785 is: 439,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,398 : 284,785 = 284,785 : x
  2. Step 2: Convert to fraction form
    184,398/284,785 = 284,785/x
  3. Step 3: Cross multiply
    184,398x = 284,785 × 284,785
  4. Step 4: Simplify right side
    184,398x = 81,102,496,225
  5. Step 5: Solve for x
    x = 81,102,496,225/184,398
  6. Step 6: Final answer
    x = 439,823.08

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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.