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Finding the Third Proportional to 186,481 and 407,119

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Solution

The third proportional to 186,481 and 407,119 is: 888,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,481 : 407,119 = 407,119 : x
  2. Step 2: Convert to fraction form
    186,481/407,119 = 407,119/x
  3. Step 3: Cross multiply
    186,481x = 407,119 × 407,119
  4. Step 4: Simplify right side
    186,481x = 165,745,880,161
  5. Step 5: Solve for x
    x = 165,745,880,161/186,481
  6. Step 6: Final answer
    x = 888,808.40

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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.