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Finding the Third Proportional to 112,256 and 240,077

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Solution

The third proportional to 112,256 and 240,077 is: 513,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,256 : 240,077 = 240,077 : x
  2. Step 2: Convert to fraction form
    112,256/240,077 = 240,077/x
  3. Step 3: Cross multiply
    112,256x = 240,077 × 240,077
  4. Step 4: Simplify right side
    112,256x = 57,636,965,929
  5. Step 5: Solve for x
    x = 57,636,965,929/112,256
  6. Step 6: Final answer
    x = 513,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.