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Finding the Third Proportional to 116,116 and 237,151

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Solution

The third proportional to 116,116 and 237,151 is: 484,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,116 : 237,151 = 237,151 : x
  2. Step 2: Convert to fraction form
    116,116/237,151 = 237,151/x
  3. Step 3: Cross multiply
    116,116x = 237,151 × 237,151
  4. Step 4: Simplify right side
    116,116x = 56,240,596,801
  5. Step 5: Solve for x
    x = 56,240,596,801/116,116
  6. Step 6: Final answer
    x = 484,348.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.