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Finding the Third Proportional to 180,248 and 280,560

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Solution

The third proportional to 180,248 and 280,560 is: 436,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,248 : 280,560 = 280,560 : x
  2. Step 2: Convert to fraction form
    180,248/280,560 = 280,560/x
  3. Step 3: Cross multiply
    180,248x = 280,560 × 280,560
  4. Step 4: Simplify right side
    180,248x = 78,713,913,600
  5. Step 5: Solve for x
    x = 78,713,913,600/180,248
  6. Step 6: Final answer
    x = 436,697.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.