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Finding the Third Proportional to 163,154 and 361,246

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Solution

The third proportional to 163,154 and 361,246 is: 799,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,154 : 361,246 = 361,246 : x
  2. Step 2: Convert to fraction form
    163,154/361,246 = 361,246/x
  3. Step 3: Cross multiply
    163,154x = 361,246 × 361,246
  4. Step 4: Simplify right side
    163,154x = 130,498,672,516
  5. Step 5: Solve for x
    x = 130,498,672,516/163,154
  6. Step 6: Final answer
    x = 799,849.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.