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Finding the Third Proportional to 184,402 and 284,791

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Solution

The third proportional to 184,402 and 284,791 is: 439,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,402 : 284,791 = 284,791 : x
  2. Step 2: Convert to fraction form
    184,402/284,791 = 284,791/x
  3. Step 3: Cross multiply
    184,402x = 284,791 × 284,791
  4. Step 4: Simplify right side
    184,402x = 81,105,913,681
  5. Step 5: Solve for x
    x = 81,105,913,681/184,402
  6. Step 6: Final answer
    x = 439,832.07

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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.