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Finding the Third Proportional to 184,389 and 284,773

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Solution

The third proportional to 184,389 and 284,773 is: 439,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,389 : 284,773 = 284,773 : x
  2. Step 2: Convert to fraction form
    184,389/284,773 = 284,773/x
  3. Step 3: Cross multiply
    184,389x = 284,773 × 284,773
  4. Step 4: Simplify right side
    184,389x = 81,095,661,529
  5. Step 5: Solve for x
    x = 81,095,661,529/184,389
  6. Step 6: Final answer
    x = 439,807.48

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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.