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Finding the Third Proportional to 112,768 and 241,084

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Solution

The third proportional to 112,768 and 241,084 is: 515,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,768 : 241,084 = 241,084 : x
  2. Step 2: Convert to fraction form
    112,768/241,084 = 241,084/x
  3. Step 3: Cross multiply
    112,768x = 241,084 × 241,084
  4. Step 4: Simplify right side
    112,768x = 58,121,495,056
  5. Step 5: Solve for x
    x = 58,121,495,056/112,768
  6. Step 6: Final answer
    x = 515,407.70

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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.