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Finding the Third Proportional to 112,178 and 245,480

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Solution

The third proportional to 112,178 and 245,480 is: 537,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,178 : 245,480 = 245,480 : x
  2. Step 2: Convert to fraction form
    112,178/245,480 = 245,480/x
  3. Step 3: Cross multiply
    112,178x = 245,480 × 245,480
  4. Step 4: Simplify right side
    112,178x = 60,260,430,400
  5. Step 5: Solve for x
    x = 60,260,430,400/112,178
  6. Step 6: Final answer
    x = 537,185.82

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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.