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Finding the Third Proportional to 186,806.25 and 386,905.50

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Solution

The third proportional to 186,806.25 and 386,905.50 is: 801,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,806.25 : 386,905.50 = 386,905.50 : x
  2. Step 2: Convert to fraction form
    186,806.25/386,905.50 = 386,905.50/x
  3. Step 3: Cross multiply
    186,806.25x = 386,905.50 × 386,905.50
  4. Step 4: Simplify right side
    186,806.25x = 149,695,865,930.25
  5. Step 5: Solve for x
    x = 149,695,865,930.25/186,806.25
  6. Step 6: Final answer
    x = 801,342.92

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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.