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Finding the Third Proportional to 162,733 and 333,394

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Solution

The third proportional to 162,733 and 333,394 is: 683,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733 : 333,394 = 333,394 : x
  2. Step 2: Convert to fraction form
    162,733/333,394 = 333,394/x
  3. Step 3: Cross multiply
    162,733x = 333,394 × 333,394
  4. Step 4: Simplify right side
    162,733x = 111,151,559,236
  5. Step 5: Solve for x
    x = 111,151,559,236/162,733
  6. Step 6: Final answer
    x = 683,030.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.