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Finding the Third Proportional to 163,893 and 354,030

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Solution

The third proportional to 163,893 and 354,030 is: 764,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,893 : 354,030 = 354,030 : x
  2. Step 2: Convert to fraction form
    163,893/354,030 = 354,030/x
  3. Step 3: Cross multiply
    163,893x = 354,030 × 354,030
  4. Step 4: Simplify right side
    163,893x = 125,337,240,900
  5. Step 5: Solve for x
    x = 125,337,240,900/163,893
  6. Step 6: Final answer
    x = 764,750.42

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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.