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Finding the Third Proportional to 103,686 and 227,076

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Solution

The third proportional to 103,686 and 227,076 is: 497,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 227,076 = 227,076 : x
  2. Step 2: Convert to fraction form
    103,686/227,076 = 227,076/x
  3. Step 3: Cross multiply
    103,686x = 227,076 × 227,076
  4. Step 4: Simplify right side
    103,686x = 51,563,509,776
  5. Step 5: Solve for x
    x = 51,563,509,776/103,686
  6. Step 6: Final answer
    x = 497,304.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.