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Finding the Third Proportional to 184,416 and 284,814

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Solution

The third proportional to 184,416 and 284,814 is: 439,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,416 : 284,814 = 284,814 : x
  2. Step 2: Convert to fraction form
    184,416/284,814 = 284,814/x
  3. Step 3: Cross multiply
    184,416x = 284,814 × 284,814
  4. Step 4: Simplify right side
    184,416x = 81,119,014,596
  5. Step 5: Solve for x
    x = 81,119,014,596/184,416
  6. Step 6: Final answer
    x = 439,869.72

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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.