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Finding the Third Proportional to 131,502 and 287,607

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Solution

The third proportional to 131,502 and 287,607 is: 629,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,502 : 287,607 = 287,607 : x
  2. Step 2: Convert to fraction form
    131,502/287,607 = 287,607/x
  3. Step 3: Cross multiply
    131,502x = 287,607 × 287,607
  4. Step 4: Simplify right side
    131,502x = 82,717,786,449
  5. Step 5: Solve for x
    x = 82,717,786,449/131,502
  6. Step 6: Final answer
    x = 629,023.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.