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Finding the Third Proportional to 184,417 and 284,813

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Solution

The third proportional to 184,417 and 284,813 is: 439,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,417 : 284,813 = 284,813 : x
  2. Step 2: Convert to fraction form
    184,417/284,813 = 284,813/x
  3. Step 3: Cross multiply
    184,417x = 284,813 × 284,813
  4. Step 4: Simplify right side
    184,417x = 81,118,444,969
  5. Step 5: Solve for x
    x = 81,118,444,969/184,417
  6. Step 6: Final answer
    x = 439,864.25

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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.