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Finding the Third Proportional to 105,230 and 225,220

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Solution

The third proportional to 105,230 and 225,220 is: 482,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230 : 225,220 = 225,220 : x
  2. Step 2: Convert to fraction form
    105,230/225,220 = 225,220/x
  3. Step 3: Cross multiply
    105,230x = 225,220 × 225,220
  4. Step 4: Simplify right side
    105,230x = 50,724,048,400
  5. Step 5: Solve for x
    x = 50,724,048,400/105,230
  6. Step 6: Final answer
    x = 482,030.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.