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Finding the Third Proportional to 190,133.50 and 413,114

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Solution

The third proportional to 190,133.50 and 413,114 is: 897,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,133.50 : 413,114 = 413,114 : x
  2. Step 2: Convert to fraction form
    190,133.50/413,114 = 413,114/x
  3. Step 3: Cross multiply
    190,133.50x = 413,114 × 413,114
  4. Step 4: Simplify right side
    190,133.50x = 170,663,176,996
  5. Step 5: Solve for x
    x = 170,663,176,996/190,133.50
  6. Step 6: Final answer
    x = 897,596.57

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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.