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Finding the Third Proportional to 190,140 and 413,127

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Solution

The third proportional to 190,140 and 413,127 is: 897,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,140 : 413,127 = 413,127 : x
  2. Step 2: Convert to fraction form
    190,140/413,127 = 413,127/x
  3. Step 3: Cross multiply
    190,140x = 413,127 × 413,127
  4. Step 4: Simplify right side
    190,140x = 170,673,918,129
  5. Step 5: Solve for x
    x = 170,673,918,129/190,140
  6. Step 6: Final answer
    x = 897,622.37

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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.