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Finding the Third Proportional to 190,757 and 407,596

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Solution

The third proportional to 190,757 and 407,596 is: 870,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,757 : 407,596 = 407,596 : x
  2. Step 2: Convert to fraction form
    190,757/407,596 = 407,596/x
  3. Step 3: Cross multiply
    190,757x = 407,596 × 407,596
  4. Step 4: Simplify right side
    190,757x = 166,134,499,216
  5. Step 5: Solve for x
    x = 166,134,499,216/190,757
  6. Step 6: Final answer
    x = 870,922.16

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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.