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Finding the Third Proportional to 163,892 and 354,028

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Solution

The third proportional to 163,892 and 354,028 is: 764,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,892 : 354,028 = 354,028 : x
  2. Step 2: Convert to fraction form
    163,892/354,028 = 354,028/x
  3. Step 3: Cross multiply
    163,892x = 354,028 × 354,028
  4. Step 4: Simplify right side
    163,892x = 125,335,824,784
  5. Step 5: Solve for x
    x = 125,335,824,784/163,892
  6. Step 6: Final answer
    x = 764,746.45

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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.