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Finding the Third Proportional to 184,898 and 242,814

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Solution

The third proportional to 184,898 and 242,814 is: 318,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,898 : 242,814 = 242,814 : x
  2. Step 2: Convert to fraction form
    184,898/242,814 = 242,814/x
  3. Step 3: Cross multiply
    184,898x = 242,814 × 242,814
  4. Step 4: Simplify right side
    184,898x = 58,958,638,596
  5. Step 5: Solve for x
    x = 58,958,638,596/184,898
  6. Step 6: Final answer
    x = 318,871.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.