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Finding the Third Proportional to 153,828 and 335,664

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Solution

The third proportional to 153,828 and 335,664 is: 732,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,828 : 335,664 = 335,664 : x
  2. Step 2: Convert to fraction form
    153,828/335,664 = 335,664/x
  3. Step 3: Cross multiply
    153,828x = 335,664 × 335,664
  4. Step 4: Simplify right side
    153,828x = 112,670,320,896
  5. Step 5: Solve for x
    x = 112,670,320,896/153,828
  6. Step 6: Final answer
    x = 732,443.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.