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Finding the Third Proportional to 190,139.63 and 413,124.75

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Solution

The third proportional to 190,139.63 and 413,124.75 is: 897,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,139.63 : 413,124.75 = 413,124.75 : x
  2. Step 2: Convert to fraction form
    190,139.63/413,124.75 = 413,124.75/x
  3. Step 3: Cross multiply
    190,139.63x = 413,124.75 × 413,124.75
  4. Step 4: Simplify right side
    190,139.63x = 170,672,059,062.56
  5. Step 5: Solve for x
    x = 170,672,059,062.56/190,139.63
  6. Step 6: Final answer
    x = 897,614.37

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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.