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Finding the Third Proportional to 180,284.63 and 280,260

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Solution

The third proportional to 180,284.63 and 280,260 is: 435,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,284.63 : 280,260 = 280,260 : x
  2. Step 2: Convert to fraction form
    180,284.63/280,260 = 280,260/x
  3. Step 3: Cross multiply
    180,284.63x = 280,260 × 280,260
  4. Step 4: Simplify right side
    180,284.63x = 78,545,667,600
  5. Step 5: Solve for x
    x = 78,545,667,600/180,284.63
  6. Step 6: Final answer
    x = 435,675.91

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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.