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Finding the Third Proportional to 105,274 and 230,230

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Solution

The third proportional to 105,274 and 230,230 is: 503,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,274 : 230,230 = 230,230 : x
  2. Step 2: Convert to fraction form
    105,274/230,230 = 230,230/x
  3. Step 3: Cross multiply
    105,274x = 230,230 × 230,230
  4. Step 4: Simplify right side
    105,274x = 53,005,852,900
  5. Step 5: Solve for x
    x = 53,005,852,900/105,274
  6. Step 6: Final answer
    x = 503,503.74

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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.