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Finding the Third Proportional to 118,598 and 184,701

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Solution

The third proportional to 118,598 and 184,701 is: 287,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,598 : 184,701 = 184,701 : x
  2. Step 2: Convert to fraction form
    118,598/184,701 = 184,701/x
  3. Step 3: Cross multiply
    118,598x = 184,701 × 184,701
  4. Step 4: Simplify right side
    118,598x = 34,114,459,401
  5. Step 5: Solve for x
    x = 34,114,459,401/118,598
  6. Step 6: Final answer
    x = 287,647.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.