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Finding the Third Proportional to 112,178 and 245,252

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Solution

The third proportional to 112,178 and 245,252 is: 536,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,178 : 245,252 = 245,252 : x
  2. Step 2: Convert to fraction form
    112,178/245,252 = 245,252/x
  3. Step 3: Cross multiply
    112,178x = 245,252 × 245,252
  4. Step 4: Simplify right side
    112,178x = 60,148,543,504
  5. Step 5: Solve for x
    x = 60,148,543,504/112,178
  6. Step 6: Final answer
    x = 536,188.41

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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.