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Finding the Third Proportional to 163,213 and 346,019

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Solution

The third proportional to 163,213 and 346,019 is: 733,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,213 : 346,019 = 346,019 : x
  2. Step 2: Convert to fraction form
    163,213/346,019 = 346,019/x
  3. Step 3: Cross multiply
    163,213x = 346,019 × 346,019
  4. Step 4: Simplify right side
    163,213x = 119,729,148,361
  5. Step 5: Solve for x
    x = 119,729,148,361/163,213
  6. Step 6: Final answer
    x = 733,576.05

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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.