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Finding the Third Proportional to 162,293 and 350,506

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Solution

The third proportional to 162,293 and 350,506 is: 756,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,293 : 350,506 = 350,506 : x
  2. Step 2: Convert to fraction form
    162,293/350,506 = 350,506/x
  3. Step 3: Cross multiply
    162,293x = 350,506 × 350,506
  4. Step 4: Simplify right side
    162,293x = 122,854,456,036
  5. Step 5: Solve for x
    x = 122,854,456,036/162,293
  6. Step 6: Final answer
    x = 756,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.