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Finding the Third Proportional to 180,501.75 and 280,624.13

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Solution

The third proportional to 180,501.75 and 280,624.13 is: 436,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,501.75 : 280,624.13 = 280,624.13 : x
  2. Step 2: Convert to fraction form
    180,501.75/280,624.13 = 280,624.13/x
  3. Step 3: Cross multiply
    180,501.75x = 280,624.13 × 280,624.13
  4. Step 4: Simplify right side
    180,501.75x = 78,749,899,532.02
  5. Step 5: Solve for x
    x = 78,749,899,532.02/180,501.75
  6. Step 6: Final answer
    x = 436,283.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.