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Finding the Third Proportional to 165,768 and 346,896

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Solution

The third proportional to 165,768 and 346,896 is: 725,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768 : 346,896 = 346,896 : x
  2. Step 2: Convert to fraction form
    165,768/346,896 = 346,896/x
  3. Step 3: Cross multiply
    165,768x = 346,896 × 346,896
  4. Step 4: Simplify right side
    165,768x = 120,336,834,816
  5. Step 5: Solve for x
    x = 120,336,834,816/165,768
  6. Step 6: Final answer
    x = 725,935.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.