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Finding the Third Proportional to 103,088 and 225,858

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Solution

The third proportional to 103,088 and 225,858 is: 494,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,088 : 225,858 = 225,858 : x
  2. Step 2: Convert to fraction form
    103,088/225,858 = 225,858/x
  3. Step 3: Cross multiply
    103,088x = 225,858 × 225,858
  4. Step 4: Simplify right side
    103,088x = 51,011,836,164
  5. Step 5: Solve for x
    x = 51,011,836,164/103,088
  6. Step 6: Final answer
    x = 494,837.77

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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.