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Finding the Third Proportional to 190,053 and 412,962

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Solution

The third proportional to 190,053 and 412,962 is: 897,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,053 : 412,962 = 412,962 : x
  2. Step 2: Convert to fraction form
    190,053/412,962 = 412,962/x
  3. Step 3: Cross multiply
    190,053x = 412,962 × 412,962
  4. Step 4: Simplify right side
    190,053x = 170,537,613,444
  5. Step 5: Solve for x
    x = 170,537,613,444/190,053
  6. Step 6: Final answer
    x = 897,316.08

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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.