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Finding the Third Proportional to 112,042 and 236,324

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Solution

The third proportional to 112,042 and 236,324 is: 498,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,042 : 236,324 = 236,324 : x
  2. Step 2: Convert to fraction form
    112,042/236,324 = 236,324/x
  3. Step 3: Cross multiply
    112,042x = 236,324 × 236,324
  4. Step 4: Simplify right side
    112,042x = 55,849,032,976
  5. Step 5: Solve for x
    x = 55,849,032,976/112,042
  6. Step 6: Final answer
    x = 498,465.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.