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Finding the Third Proportional to 186,463.88 and 400,145.67

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Solution

The third proportional to 186,463.88 and 400,145.67 is: 858,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,463.88 : 400,145.67 = 400,145.67 : x
  2. Step 2: Convert to fraction form
    186,463.88/400,145.67 = 400,145.67/x
  3. Step 3: Cross multiply
    186,463.88x = 400,145.67 × 400,145.67
  4. Step 4: Simplify right side
    186,463.88x = 160,116,558,720.30
  5. Step 5: Solve for x
    x = 160,116,558,720.30/186,463.88
  6. Step 6: Final answer
    x = 858,700.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.