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Finding the Third Proportional to 186,833.25 and 408,735

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Solution

The third proportional to 186,833.25 and 408,735 is: 894,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,833.25 : 408,735 = 408,735 : x
  2. Step 2: Convert to fraction form
    186,833.25/408,735 = 408,735/x
  3. Step 3: Cross multiply
    186,833.25x = 408,735 × 408,735
  4. Step 4: Simplify right side
    186,833.25x = 167,064,300,225
  5. Step 5: Solve for x
    x = 167,064,300,225/186,833.25
  6. Step 6: Final answer
    x = 894,189.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.