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Finding the Third Proportional to 190,130 and 413,106

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Solution

The third proportional to 190,130 and 413,106 is: 897,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,130 : 413,106 = 413,106 : x
  2. Step 2: Convert to fraction form
    190,130/413,106 = 413,106/x
  3. Step 3: Cross multiply
    190,130x = 413,106 × 413,106
  4. Step 4: Simplify right side
    190,130x = 170,656,567,236
  5. Step 5: Solve for x
    x = 170,656,567,236/190,130
  6. Step 6: Final answer
    x = 897,578.33

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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.