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Finding the Third Proportional to 105,906 and 232,803

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Solution

The third proportional to 105,906 and 232,803 is: 511,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,906 : 232,803 = 232,803 : x
  2. Step 2: Convert to fraction form
    105,906/232,803 = 232,803/x
  3. Step 3: Cross multiply
    105,906x = 232,803 × 232,803
  4. Step 4: Simplify right side
    105,906x = 54,197,236,809
  5. Step 5: Solve for x
    x = 54,197,236,809/105,906
  6. Step 6: Final answer
    x = 511,748.50

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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.