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Finding the Third Proportional to 162,785 and 333,487

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Solution

The third proportional to 162,785 and 333,487 is: 683,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,785 : 333,487 = 333,487 : x
  2. Step 2: Convert to fraction form
    162,785/333,487 = 333,487/x
  3. Step 3: Cross multiply
    162,785x = 333,487 × 333,487
  4. Step 4: Simplify right side
    162,785x = 111,213,579,169
  5. Step 5: Solve for x
    x = 111,213,579,169/162,785
  6. Step 6: Final answer
    x = 683,193.04

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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.