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Finding the Third Proportional to 184,410 and 284,803

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Solution

The third proportional to 184,410 and 284,803 is: 439,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 284,803 = 284,803 : x
  2. Step 2: Convert to fraction form
    184,410/284,803 = 284,803/x
  3. Step 3: Cross multiply
    184,410x = 284,803 × 284,803
  4. Step 4: Simplify right side
    184,410x = 81,112,748,809
  5. Step 5: Solve for x
    x = 81,112,748,809/184,410
  6. Step 6: Final answer
    x = 439,850.06

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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.