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Finding the Third Proportional to 190,024 and 410,179

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Solution

The third proportional to 190,024 and 410,179 is: 885,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,024 : 410,179 = 410,179 : x
  2. Step 2: Convert to fraction form
    190,024/410,179 = 410,179/x
  3. Step 3: Cross multiply
    190,024x = 410,179 × 410,179
  4. Step 4: Simplify right side
    190,024x = 168,246,812,041
  5. Step 5: Solve for x
    x = 168,246,812,041/190,024
  6. Step 6: Final answer
    x = 885,397.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.