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Finding the Third Proportional to 190,503.13 and 409,680.25

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Solution

The third proportional to 190,503.13 and 409,680.25 is: 881,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,503.13 : 409,680.25 = 409,680.25 : x
  2. Step 2: Convert to fraction form
    190,503.13/409,680.25 = 409,680.25/x
  3. Step 3: Cross multiply
    190,503.13x = 409,680.25 × 409,680.25
  4. Step 4: Simplify right side
    190,503.13x = 167,837,907,240.06
  5. Step 5: Solve for x
    x = 167,837,907,240.06/190,503.13
  6. Step 6: Final answer
    x = 881,024.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.