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Finding the Third Proportional to 188,029 and 410,355

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Solution

The third proportional to 188,029 and 410,355 is: 895,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,029 : 410,355 = 410,355 : x
  2. Step 2: Convert to fraction form
    188,029/410,355 = 410,355/x
  3. Step 3: Cross multiply
    188,029x = 410,355 × 410,355
  4. Step 4: Simplify right side
    188,029x = 168,391,226,025
  5. Step 5: Solve for x
    x = 168,391,226,025/188,029
  6. Step 6: Final answer
    x = 895,559.87

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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.