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Finding the Third Proportional to 162,054 and 353,349

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Solution

The third proportional to 162,054 and 353,349 is: 770,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,054 : 353,349 = 353,349 : x
  2. Step 2: Convert to fraction form
    162,054/353,349 = 353,349/x
  3. Step 3: Cross multiply
    162,054x = 353,349 × 353,349
  4. Step 4: Simplify right side
    162,054x = 124,855,515,801
  5. Step 5: Solve for x
    x = 124,855,515,801/162,054
  6. Step 6: Final answer
    x = 770,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.