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Finding the Third Proportional to 190,143 and 413,133

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Solution

The third proportional to 190,143 and 413,133 is: 897,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,143 : 413,133 = 413,133 : x
  2. Step 2: Convert to fraction form
    190,143/413,133 = 413,133/x
  3. Step 3: Cross multiply
    190,143x = 413,133 × 413,133
  4. Step 4: Simplify right side
    190,143x = 170,678,875,689
  5. Step 5: Solve for x
    x = 170,678,875,689/190,143
  6. Step 6: Final answer
    x = 897,634.28

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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.