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Finding the Third Proportional to 186,795 and 282,136.50

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Solution

The third proportional to 186,795 and 282,136.50 is: 426,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,795 : 282,136.50 = 282,136.50 : x
  2. Step 2: Convert to fraction form
    186,795/282,136.50 = 282,136.50/x
  3. Step 3: Cross multiply
    186,795x = 282,136.50 × 282,136.50
  4. Step 4: Simplify right side
    186,795x = 79,601,004,632.25
  5. Step 5: Solve for x
    x = 79,601,004,632.25/186,795
  6. Step 6: Final answer
    x = 426,140.98

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