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Finding the Third Proportional to 152,603.75 and 331,477.75

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Solution

The third proportional to 152,603.75 and 331,477.75 is: 720,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,603.75 : 331,477.75 = 331,477.75 : x
  2. Step 2: Convert to fraction form
    152,603.75/331,477.75 = 331,477.75/x
  3. Step 3: Cross multiply
    152,603.75x = 331,477.75 × 331,477.75
  4. Step 4: Simplify right side
    152,603.75x = 109,877,498,745.06
  5. Step 5: Solve for x
    x = 109,877,498,745.06/152,603.75
  6. Step 6: Final answer
    x = 720,018.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.