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Finding the Third Proportional to 161,042 and 353,942

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Solution

The third proportional to 161,042 and 353,942 is: 777,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,042 : 353,942 = 353,942 : x
  2. Step 2: Convert to fraction form
    161,042/353,942 = 353,942/x
  3. Step 3: Cross multiply
    161,042x = 353,942 × 353,942
  4. Step 4: Simplify right side
    161,042x = 125,274,939,364
  5. Step 5: Solve for x
    x = 125,274,939,364/161,042
  6. Step 6: Final answer
    x = 777,902.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.