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Finding the Third Proportional to 186,813.84 and 386,920.55

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Solution

The third proportional to 186,813.84 and 386,920.55 is: 801,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813.84 : 386,920.55 = 386,920.55 : x
  2. Step 2: Convert to fraction form
    186,813.84/386,920.55 = 386,920.55/x
  3. Step 3: Cross multiply
    186,813.84x = 386,920.55 × 386,920.55
  4. Step 4: Simplify right side
    186,813.84x = 149,707,509,594.05
  5. Step 5: Solve for x
    x = 149,707,509,594.05/186,813.84
  6. Step 6: Final answer
    x = 801,372.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.