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Finding the Third Proportional to 186,468.75 and 408,201.19

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Solution

The third proportional to 186,468.75 and 408,201.19 is: 893,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,468.75 : 408,201.19 = 408,201.19 : x
  2. Step 2: Convert to fraction form
    186,468.75/408,201.19 = 408,201.19/x
  3. Step 3: Cross multiply
    186,468.75x = 408,201.19 × 408,201.19
  4. Step 4: Simplify right side
    186,468.75x = 166,628,209,476.41
  5. Step 5: Solve for x
    x = 166,628,209,476.41/186,468.75
  6. Step 6: Final answer
    x = 893,598.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.