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Finding the Third Proportional to 180,342 and 280,345

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Solution

The third proportional to 180,342 and 280,345 is: 435,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,342 : 280,345 = 280,345 : x
  2. Step 2: Convert to fraction form
    180,342/280,345 = 280,345/x
  3. Step 3: Cross multiply
    180,342x = 280,345 × 280,345
  4. Step 4: Simplify right side
    180,342x = 78,593,319,025
  5. Step 5: Solve for x
    x = 78,593,319,025/180,342
  6. Step 6: Final answer
    x = 435,801.53

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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.