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Finding the Third Proportional to 227,349 and 344,178

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Solution

The third proportional to 227,349 and 344,178 is: 521,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,349 : 344,178 = 344,178 : x
  2. Step 2: Convert to fraction form
    227,349/344,178 = 344,178/x
  3. Step 3: Cross multiply
    227,349x = 344,178 × 344,178
  4. Step 4: Simplify right side
    227,349x = 118,458,495,684
  5. Step 5: Solve for x
    x = 118,458,495,684/227,349
  6. Step 6: Final answer
    x = 521,042.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.