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Finding the Third Proportional to 180,014 and 284,679

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Solution

The third proportional to 180,014 and 284,679 is: 450,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,014 : 284,679 = 284,679 : x
  2. Step 2: Convert to fraction form
    180,014/284,679 = 284,679/x
  3. Step 3: Cross multiply
    180,014x = 284,679 × 284,679
  4. Step 4: Simplify right side
    180,014x = 81,042,133,041
  5. Step 5: Solve for x
    x = 81,042,133,041/180,014
  6. Step 6: Final answer
    x = 450,199.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.