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Finding the Third Proportional to 105,798 and 226,154

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Solution

The third proportional to 105,798 and 226,154 is: 483,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798 : 226,154 = 226,154 : x
  2. Step 2: Convert to fraction form
    105,798/226,154 = 226,154/x
  3. Step 3: Cross multiply
    105,798x = 226,154 × 226,154
  4. Step 4: Simplify right side
    105,798x = 51,145,631,716
  5. Step 5: Solve for x
    x = 51,145,631,716/105,798
  6. Step 6: Final answer
    x = 483,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.