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Finding the Third Proportional to 183,972 and 407,289.75

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Solution

The third proportional to 183,972 and 407,289.75 is: 901,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,972 : 407,289.75 = 407,289.75 : x
  2. Step 2: Convert to fraction form
    183,972/407,289.75 = 407,289.75/x
  3. Step 3: Cross multiply
    183,972x = 407,289.75 × 407,289.75
  4. Step 4: Simplify right side
    183,972x = 165,884,940,455.06
  5. Step 5: Solve for x
    x = 165,884,940,455.06/183,972
  6. Step 6: Final answer
    x = 901,685.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.