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Finding the Third Proportional to 180,324 and 280,314

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Solution

The third proportional to 180,324 and 280,314 is: 435,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324 : 280,314 = 280,314 : x
  2. Step 2: Convert to fraction form
    180,324/280,314 = 280,314/x
  3. Step 3: Cross multiply
    180,324x = 280,314 × 280,314
  4. Step 4: Simplify right side
    180,324x = 78,575,938,596
  5. Step 5: Solve for x
    x = 78,575,938,596/180,324
  6. Step 6: Final answer
    x = 435,748.64

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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.