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Finding the Third Proportional to 183,951 and 324,207.56

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Solution

The third proportional to 183,951 and 324,207.56 is: 571,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,951 : 324,207.56 = 324,207.56 : x
  2. Step 2: Convert to fraction form
    183,951/324,207.56 = 324,207.56/x
  3. Step 3: Cross multiply
    183,951x = 324,207.56 × 324,207.56
  4. Step 4: Simplify right side
    183,951x = 105,110,543,582.19
  5. Step 5: Solve for x
    x = 105,110,543,582.19/183,951
  6. Step 6: Final answer
    x = 571,405.12

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.