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Finding the Third Proportional to 162,313 and 354,150

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Solution

The third proportional to 162,313 and 354,150 is: 772,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,313 : 354,150 = 354,150 : x
  2. Step 2: Convert to fraction form
    162,313/354,150 = 354,150/x
  3. Step 3: Cross multiply
    162,313x = 354,150 × 354,150
  4. Step 4: Simplify right side
    162,313x = 125,422,222,500
  5. Step 5: Solve for x
    x = 125,422,222,500/162,313
  6. Step 6: Final answer
    x = 772,718.28

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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.