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Finding the Third Proportional to 162,731 and 333,389

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Solution

The third proportional to 162,731 and 333,389 is: 683,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,731 : 333,389 = 333,389 : x
  2. Step 2: Convert to fraction form
    162,731/333,389 = 333,389/x
  3. Step 3: Cross multiply
    162,731x = 333,389 × 333,389
  4. Step 4: Simplify right side
    162,731x = 111,148,225,321
  5. Step 5: Solve for x
    x = 111,148,225,321/162,731
  6. Step 6: Final answer
    x = 683,018.14

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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.