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Finding the Third Proportional to 186,787.69 and 404,534.25

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Solution

The third proportional to 186,787.69 and 404,534.25 is: 876,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,787.69 : 404,534.25 = 404,534.25 : x
  2. Step 2: Convert to fraction form
    186,787.69/404,534.25 = 404,534.25/x
  3. Step 3: Cross multiply
    186,787.69x = 404,534.25 × 404,534.25
  4. Step 4: Simplify right side
    186,787.69x = 163,647,959,423.06
  5. Step 5: Solve for x
    x = 163,647,959,423.06/186,787.69
  6. Step 6: Final answer
    x = 876,117.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.