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Finding the Third Proportional to 190,353.75 and 413,512.50

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Solution

The third proportional to 190,353.75 and 413,512.50 is: 898,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,353.75 : 413,512.50 = 413,512.50 : x
  2. Step 2: Convert to fraction form
    190,353.75/413,512.50 = 413,512.50/x
  3. Step 3: Cross multiply
    190,353.75x = 413,512.50 × 413,512.50
  4. Step 4: Simplify right side
    190,353.75x = 170,992,587,656.25
  5. Step 5: Solve for x
    x = 170,992,587,656.25/190,353.75
  6. Step 6: Final answer
    x = 898,288.52

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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.