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Finding the Third Proportional to 162,966 and 356,556

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Solution

The third proportional to 162,966 and 356,556 is: 780,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,966 : 356,556 = 356,556 : x
  2. Step 2: Convert to fraction form
    162,966/356,556 = 356,556/x
  3. Step 3: Cross multiply
    162,966x = 356,556 × 356,556
  4. Step 4: Simplify right side
    162,966x = 127,132,181,136
  5. Step 5: Solve for x
    x = 127,132,181,136/162,966
  6. Step 6: Final answer
    x = 780,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.