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Finding the Third Proportional to 229,172 and 492,196

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Solution

The third proportional to 229,172 and 492,196 is: 1,057,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,172 : 492,196 = 492,196 : x
  2. Step 2: Convert to fraction form
    229,172/492,196 = 492,196/x
  3. Step 3: Cross multiply
    229,172x = 492,196 × 492,196
  4. Step 4: Simplify right side
    229,172x = 242,256,902,416
  5. Step 5: Solve for x
    x = 242,256,902,416/229,172
  6. Step 6: Final answer
    x = 1,057,096.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.