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Finding the Third Proportional to 162,072 and 353,736

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Solution

The third proportional to 162,072 and 353,736 is: 772,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,072 : 353,736 = 353,736 : x
  2. Step 2: Convert to fraction form
    162,072/353,736 = 353,736/x
  3. Step 3: Cross multiply
    162,072x = 353,736 × 353,736
  4. Step 4: Simplify right side
    162,072x = 125,129,157,696
  5. Step 5: Solve for x
    x = 125,129,157,696/162,072
  6. Step 6: Final answer
    x = 772,059.07

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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.