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Finding the Third Proportional to 190,538.10 and 414,291.27

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Solution

The third proportional to 190,538.10 and 414,291.27 is: 900,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,538.10 : 414,291.27 = 414,291.27 : x
  2. Step 2: Convert to fraction form
    190,538.10/414,291.27 = 414,291.27/x
  3. Step 3: Cross multiply
    190,538.10x = 414,291.27 × 414,291.27
  4. Step 4: Simplify right side
    190,538.10x = 171,637,256,009.82
  5. Step 5: Solve for x
    x = 171,637,256,009.82/190,538.10
  6. Step 6: Final answer
    x = 900,802.79

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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.