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Finding the Third Proportional to 190,714.92 and 407,972.95

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Solution

The third proportional to 190,714.92 and 407,972.95 is: 872,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,714.92 : 407,972.95 = 407,972.95 : x
  2. Step 2: Convert to fraction form
    190,714.92/407,972.95 = 407,972.95/x
  3. Step 3: Cross multiply
    190,714.92x = 407,972.95 × 407,972.95
  4. Step 4: Simplify right side
    190,714.92x = 166,441,930,481.53
  5. Step 5: Solve for x
    x = 166,441,930,481.53/190,714.92
  6. Step 6: Final answer
    x = 872,726.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.