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Finding the Third Proportional to 162,308 and 352,012

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Solution

The third proportional to 162,308 and 352,012 is: 763,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,308 : 352,012 = 352,012 : x
  2. Step 2: Convert to fraction form
    162,308/352,012 = 352,012/x
  3. Step 3: Cross multiply
    162,308x = 352,012 × 352,012
  4. Step 4: Simplify right side
    162,308x = 123,912,448,144
  5. Step 5: Solve for x
    x = 123,912,448,144/162,308
  6. Step 6: Final answer
    x = 763,440.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.