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Finding the Third Proportional to 163,864 and 346,928

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Solution

The third proportional to 163,864 and 346,928 is: 734,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864 : 346,928 = 346,928 : x
  2. Step 2: Convert to fraction form
    163,864/346,928 = 346,928/x
  3. Step 3: Cross multiply
    163,864x = 346,928 × 346,928
  4. Step 4: Simplify right side
    163,864x = 120,359,037,184
  5. Step 5: Solve for x
    x = 120,359,037,184/163,864
  6. Step 6: Final answer
    x = 734,505.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.