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Finding the Third Proportional to 145,764 and 313,896

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Solution

The third proportional to 145,764 and 313,896 is: 675,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,764 : 313,896 = 313,896 : x
  2. Step 2: Convert to fraction form
    145,764/313,896 = 313,896/x
  3. Step 3: Cross multiply
    145,764x = 313,896 × 313,896
  4. Step 4: Simplify right side
    145,764x = 98,530,698,816
  5. Step 5: Solve for x
    x = 98,530,698,816/145,764
  6. Step 6: Final answer
    x = 675,960.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.