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Finding the Third Proportional to 106,036 and 232,808

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Solution

The third proportional to 106,036 and 232,808 is: 511,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036 : 232,808 = 232,808 : x
  2. Step 2: Convert to fraction form
    106,036/232,808 = 232,808/x
  3. Step 3: Cross multiply
    106,036x = 232,808 × 232,808
  4. Step 4: Simplify right side
    106,036x = 54,199,564,864
  5. Step 5: Solve for x
    x = 54,199,564,864/106,036
  6. Step 6: Final answer
    x = 511,143.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.