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Finding the Third Proportional to 272,105 and 409,203

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Solution

The third proportional to 272,105 and 409,203 is: 615,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,105 : 409,203 = 409,203 : x
  2. Step 2: Convert to fraction form
    272,105/409,203 = 409,203/x
  3. Step 3: Cross multiply
    272,105x = 409,203 × 409,203
  4. Step 4: Simplify right side
    272,105x = 167,447,095,209
  5. Step 5: Solve for x
    x = 167,447,095,209/272,105
  6. Step 6: Final answer
    x = 615,376.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.