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Finding the Third Proportional to 186,055 and 407,572

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Solution

The third proportional to 186,055 and 407,572 is: 892,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,055 : 407,572 = 407,572 : x
  2. Step 2: Convert to fraction form
    186,055/407,572 = 407,572/x
  3. Step 3: Cross multiply
    186,055x = 407,572 × 407,572
  4. Step 4: Simplify right side
    186,055x = 166,114,935,184
  5. Step 5: Solve for x
    x = 166,114,935,184/186,055
  6. Step 6: Final answer
    x = 892,827.04

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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.