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Finding the Third Proportional to 162,735 and 351,790

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Solution

The third proportional to 162,735 and 351,790 is: 760,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,735 : 351,790 = 351,790 : x
  2. Step 2: Convert to fraction form
    162,735/351,790 = 351,790/x
  3. Step 3: Cross multiply
    162,735x = 351,790 × 351,790
  4. Step 4: Simplify right side
    162,735x = 123,756,204,100
  5. Step 5: Solve for x
    x = 123,756,204,100/162,735
  6. Step 6: Final answer
    x = 760,476.87

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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.