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Finding the Third Proportional to 163,912 and 354,068

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Solution

The third proportional to 163,912 and 354,068 is: 764,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,912 : 354,068 = 354,068 : x
  2. Step 2: Convert to fraction form
    163,912/354,068 = 354,068/x
  3. Step 3: Cross multiply
    163,912x = 354,068 × 354,068
  4. Step 4: Simplify right side
    163,912x = 125,364,148,624
  5. Step 5: Solve for x
    x = 125,364,148,624/163,912
  6. Step 6: Final answer
    x = 764,825.93

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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.