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Finding the Third Proportional to 186,957 and 407,751.75

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Solution

The third proportional to 186,957 and 407,751.75 is: 889,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,957 : 407,751.75 = 407,751.75 : x
  2. Step 2: Convert to fraction form
    186,957/407,751.75 = 407,751.75/x
  3. Step 3: Cross multiply
    186,957x = 407,751.75 × 407,751.75
  4. Step 4: Simplify right side
    186,957x = 166,261,489,628.06
  5. Step 5: Solve for x
    x = 166,261,489,628.06/186,957
  6. Step 6: Final answer
    x = 889,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.