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Finding the Third Proportional to 112,176 and 245,248

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Solution

The third proportional to 112,176 and 245,248 is: 536,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,176 : 245,248 = 245,248 : x
  2. Step 2: Convert to fraction form
    112,176/245,248 = 245,248/x
  3. Step 3: Cross multiply
    112,176x = 245,248 × 245,248
  4. Step 4: Simplify right side
    112,176x = 60,146,581,504
  5. Step 5: Solve for x
    x = 60,146,581,504/112,176
  6. Step 6: Final answer
    x = 536,180.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.