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Finding the Third Proportional to 190,014 and 410,154

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Solution

The third proportional to 190,014 and 410,154 is: 885,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,014 : 410,154 = 410,154 : x
  2. Step 2: Convert to fraction form
    190,014/410,154 = 410,154/x
  3. Step 3: Cross multiply
    190,014x = 410,154 × 410,154
  4. Step 4: Simplify right side
    190,014x = 168,226,303,716
  5. Step 5: Solve for x
    x = 168,226,303,716/190,014
  6. Step 6: Final answer
    x = 885,336.36

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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.