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Finding the Third Proportional to 190,498.50 and 409,671

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Solution

The third proportional to 190,498.50 and 409,671 is: 881,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,498.50 : 409,671 = 409,671 : x
  2. Step 2: Convert to fraction form
    190,498.50/409,671 = 409,671/x
  3. Step 3: Cross multiply
    190,498.50x = 409,671 × 409,671
  4. Step 4: Simplify right side
    190,498.50x = 167,830,328,241
  5. Step 5: Solve for x
    x = 167,830,328,241/190,498.50
  6. Step 6: Final answer
    x = 881,006.04

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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.