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Finding the Third Proportional to 103,984 and 227,712

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Solution

The third proportional to 103,984 and 227,712 is: 498,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 227,712 = 227,712 : x
  2. Step 2: Convert to fraction form
    103,984/227,712 = 227,712/x
  3. Step 3: Cross multiply
    103,984x = 227,712 × 227,712
  4. Step 4: Simplify right side
    103,984x = 51,852,754,944
  5. Step 5: Solve for x
    x = 51,852,754,944/103,984
  6. Step 6: Final answer
    x = 498,660.90

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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.