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Finding the Third Proportional to 163,112 and 359,337

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Solution

The third proportional to 163,112 and 359,337 is: 791,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,112 : 359,337 = 359,337 : x
  2. Step 2: Convert to fraction form
    163,112/359,337 = 359,337/x
  3. Step 3: Cross multiply
    163,112x = 359,337 × 359,337
  4. Step 4: Simplify right side
    163,112x = 129,123,079,569
  5. Step 5: Solve for x
    x = 129,123,079,569/163,112
  6. Step 6: Final answer
    x = 791,622.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.