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Finding the Third Proportional to 119,202 and 271,764

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Solution

The third proportional to 119,202 and 271,764 is: 619,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,202 : 271,764 = 271,764 : x
  2. Step 2: Convert to fraction form
    119,202/271,764 = 271,764/x
  3. Step 3: Cross multiply
    119,202x = 271,764 × 271,764
  4. Step 4: Simplify right side
    119,202x = 73,855,671,696
  5. Step 5: Solve for x
    x = 73,855,671,696/119,202
  6. Step 6: Final answer
    x = 619,584.17

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.