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Finding the Third Proportional to 106,690 and 232,580

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Solution

The third proportional to 106,690 and 232,580 is: 507,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690 : 232,580 = 232,580 : x
  2. Step 2: Convert to fraction form
    106,690/232,580 = 232,580/x
  3. Step 3: Cross multiply
    106,690x = 232,580 × 232,580
  4. Step 4: Simplify right side
    106,690x = 54,093,456,400
  5. Step 5: Solve for x
    x = 54,093,456,400/106,690
  6. Step 6: Final answer
    x = 507,015.24

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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.