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Finding the Third Proportional to 106,544 and 232,160

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Solution

The third proportional to 106,544 and 232,160 is: 505,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544 : 232,160 = 232,160 : x
  2. Step 2: Convert to fraction form
    106,544/232,160 = 232,160/x
  3. Step 3: Cross multiply
    106,544x = 232,160 × 232,160
  4. Step 4: Simplify right side
    106,544x = 53,898,265,600
  5. Step 5: Solve for x
    x = 53,898,265,600/106,544
  6. Step 6: Final answer
    x = 505,878.00

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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.