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Finding the Third Proportional to 190,506 and 407,256

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Solution

The third proportional to 190,506 and 407,256 is: 870,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,506 : 407,256 = 407,256 : x
  2. Step 2: Convert to fraction form
    190,506/407,256 = 407,256/x
  3. Step 3: Cross multiply
    190,506x = 407,256 × 407,256
  4. Step 4: Simplify right side
    190,506x = 165,857,449,536
  5. Step 5: Solve for x
    x = 165,857,449,536/190,506
  6. Step 6: Final answer
    x = 870,615.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.