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Finding the Third Proportional to 182,570 and 280,503

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Solution

The third proportional to 182,570 and 280,503 is: 430,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,570 : 280,503 = 280,503 : x
  2. Step 2: Convert to fraction form
    182,570/280,503 = 280,503/x
  3. Step 3: Cross multiply
    182,570x = 280,503 × 280,503
  4. Step 4: Simplify right side
    182,570x = 78,681,933,009
  5. Step 5: Solve for x
    x = 78,681,933,009/182,570
  6. Step 6: Final answer
    x = 430,968.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.