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Finding the Third Proportional to 103,681 and 227,450

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Solution

The third proportional to 103,681 and 227,450 is: 498,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 227,450 = 227,450 : x
  2. Step 2: Convert to fraction form
    103,681/227,450 = 227,450/x
  3. Step 3: Cross multiply
    103,681x = 227,450 × 227,450
  4. Step 4: Simplify right side
    103,681x = 51,733,502,500
  5. Step 5: Solve for x
    x = 51,733,502,500/103,681
  6. Step 6: Final answer
    x = 498,968.01

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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.