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Finding the Third Proportional to 103,655 and 226,048

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Solution

The third proportional to 103,655 and 226,048 is: 492,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655 : 226,048 = 226,048 : x
  2. Step 2: Convert to fraction form
    103,655/226,048 = 226,048/x
  3. Step 3: Cross multiply
    103,655x = 226,048 × 226,048
  4. Step 4: Simplify right side
    103,655x = 51,097,698,304
  5. Step 5: Solve for x
    x = 51,097,698,304/103,655
  6. Step 6: Final answer
    x = 492,959.32

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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.