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Finding the Third Proportional to 190,360.13 and 413,525.25

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Solution

The third proportional to 190,360.13 and 413,525.25 is: 898,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,360.13 : 413,525.25 = 413,525.25 : x
  2. Step 2: Convert to fraction form
    190,360.13/413,525.25 = 413,525.25/x
  3. Step 3: Cross multiply
    190,360.13x = 413,525.25 × 413,525.25
  4. Step 4: Simplify right side
    190,360.13x = 171,003,132,387.56
  5. Step 5: Solve for x
    x = 171,003,132,387.56/190,360.13
  6. Step 6: Final answer
    x = 898,313.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.