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Finding the Third Proportional to 164,313 and 354,858

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Solution

The third proportional to 164,313 and 354,858 is: 766,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,313 : 354,858 = 354,858 : x
  2. Step 2: Convert to fraction form
    164,313/354,858 = 354,858/x
  3. Step 3: Cross multiply
    164,313x = 354,858 × 354,858
  4. Step 4: Simplify right side
    164,313x = 125,924,200,164
  5. Step 5: Solve for x
    x = 125,924,200,164/164,313
  6. Step 6: Final answer
    x = 766,367.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.