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Finding the Third Proportional to 186,478.88 and 407,114.44

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Solution

The third proportional to 186,478.88 and 407,114.44 is: 888,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,478.88 : 407,114.44 = 407,114.44 : x
  2. Step 2: Convert to fraction form
    186,478.88/407,114.44 = 407,114.44/x
  3. Step 3: Cross multiply
    186,478.88x = 407,114.44 × 407,114.44
  4. Step 4: Simplify right side
    186,478.88x = 165,742,165,220.94
  5. Step 5: Solve for x
    x = 165,742,165,220.94/186,478.88
  6. Step 6: Final answer
    x = 888,798.61

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Why These Related Problems?

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