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Finding the Third Proportional to 188,490.38 and 410,153.63

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Solution

The third proportional to 188,490.38 and 410,153.63 is: 892,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,490.38 : 410,153.63 = 410,153.63 : x
  2. Step 2: Convert to fraction form
    188,490.38/410,153.63 = 410,153.63/x
  3. Step 3: Cross multiply
    188,490.38x = 410,153.63 × 410,153.63
  4. Step 4: Simplify right side
    188,490.38x = 168,225,996,100.64
  5. Step 5: Solve for x
    x = 168,225,996,100.64/188,490.38
  6. Step 6: Final answer
    x = 892,491.17

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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.