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Finding the Third Proportional to 186,190 and 287,710

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Solution

The third proportional to 186,190 and 287,710 is: 444,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,190 : 287,710 = 287,710 : x
  2. Step 2: Convert to fraction form
    186,190/287,710 = 287,710/x
  3. Step 3: Cross multiply
    186,190x = 287,710 × 287,710
  4. Step 4: Simplify right side
    186,190x = 82,777,044,100
  5. Step 5: Solve for x
    x = 82,777,044,100/186,190
  6. Step 6: Final answer
    x = 444,583.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.