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Finding the Third Proportional to 162,647 and 352,444

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Solution

The third proportional to 162,647 and 352,444 is: 763,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,647 : 352,444 = 352,444 : x
  2. Step 2: Convert to fraction form
    162,647/352,444 = 352,444/x
  3. Step 3: Cross multiply
    162,647x = 352,444 × 352,444
  4. Step 4: Simplify right side
    162,647x = 124,216,773,136
  5. Step 5: Solve for x
    x = 124,216,773,136/162,647
  6. Step 6: Final answer
    x = 763,720.04

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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.