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Finding the Third Proportional to 112,820 and 245,884

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Solution

The third proportional to 112,820 and 245,884 is: 535,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,820 : 245,884 = 245,884 : x
  2. Step 2: Convert to fraction form
    112,820/245,884 = 245,884/x
  3. Step 3: Cross multiply
    112,820x = 245,884 × 245,884
  4. Step 4: Simplify right side
    112,820x = 60,458,941,456
  5. Step 5: Solve for x
    x = 60,458,941,456/112,820
  6. Step 6: Final answer
    x = 535,888.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.