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Finding the Third Proportional to 186,946.13 and 407,725.13

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Solution

The third proportional to 186,946.13 and 407,725.13 is: 889,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,946.13 : 407,725.13 = 407,725.13 : x
  2. Step 2: Convert to fraction form
    186,946.13/407,725.13 = 407,725.13/x
  3. Step 3: Cross multiply
    186,946.13x = 407,725.13 × 407,725.13
  4. Step 4: Simplify right side
    186,946.13x = 166,239,777,556.27
  5. Step 5: Solve for x
    x = 166,239,777,556.27/186,946.13
  6. Step 6: Final answer
    x = 889,238.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.