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Finding the Third Proportional to 103,700 and 227,272

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Solution

The third proportional to 103,700 and 227,272 is: 498,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,700 : 227,272 = 227,272 : x
  2. Step 2: Convert to fraction form
    103,700/227,272 = 227,272/x
  3. Step 3: Cross multiply
    103,700x = 227,272 × 227,272
  4. Step 4: Simplify right side
    103,700x = 51,652,561,984
  5. Step 5: Solve for x
    x = 51,652,561,984/103,700
  6. Step 6: Final answer
    x = 498,096.07

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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.