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Finding the Third Proportional to 190,166.50 and 413,169.50

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Solution

The third proportional to 190,166.50 and 413,169.50 is: 897,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,166.50 : 413,169.50 = 413,169.50 : x
  2. Step 2: Convert to fraction form
    190,166.50/413,169.50 = 413,169.50/x
  3. Step 3: Cross multiply
    190,166.50x = 413,169.50 × 413,169.50
  4. Step 4: Simplify right side
    190,166.50x = 170,709,035,730.25
  5. Step 5: Solve for x
    x = 170,709,035,730.25/190,166.50
  6. Step 6: Final answer
    x = 897,681.96

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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.