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Finding the Third Proportional to 186,478.88 and 281,269.13

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Solution

The third proportional to 186,478.88 and 281,269.13 is: 424,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,478.88 : 281,269.13 = 281,269.13 : x
  2. Step 2: Convert to fraction form
    186,478.88/281,269.13 = 281,269.13/x
  3. Step 3: Cross multiply
    186,478.88x = 281,269.13 × 281,269.13
  4. Step 4: Simplify right side
    186,478.88x = 79,112,320,678.27
  5. Step 5: Solve for x
    x = 79,112,320,678.27/186,478.88
  6. Step 6: Final answer
    x = 424,242.80

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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.