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Finding the Third Proportional to 186,569 and 295,898

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Solution

The third proportional to 186,569 and 295,898 is: 469,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,569 : 295,898 = 295,898 : x
  2. Step 2: Convert to fraction form
    186,569/295,898 = 295,898/x
  3. Step 3: Cross multiply
    186,569x = 295,898 × 295,898
  4. Step 4: Simplify right side
    186,569x = 87,555,626,404
  5. Step 5: Solve for x
    x = 87,555,626,404/186,569
  6. Step 6: Final answer
    x = 469,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.