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Finding the Third Proportional to 186,511 and 281,326

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Solution

The third proportional to 186,511 and 281,326 is: 424,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,511 : 281,326 = 281,326 : x
  2. Step 2: Convert to fraction form
    186,511/281,326 = 281,326/x
  3. Step 3: Cross multiply
    186,511x = 281,326 × 281,326
  4. Step 4: Simplify right side
    186,511x = 79,144,318,276
  5. Step 5: Solve for x
    x = 79,144,318,276/186,511
  6. Step 6: Final answer
    x = 424,341.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.