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Finding the Third Proportional to 186,810.75 and 386,914.50

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Solution

The third proportional to 186,810.75 and 386,914.50 is: 801,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810.75 : 386,914.50 = 386,914.50 : x
  2. Step 2: Convert to fraction form
    186,810.75/386,914.50 = 386,914.50/x
  3. Step 3: Cross multiply
    186,810.75x = 386,914.50 × 386,914.50
  4. Step 4: Simplify right side
    186,810.75x = 149,702,830,310.25
  5. Step 5: Solve for x
    x = 149,702,830,310.25/186,810.75
  6. Step 6: Final answer
    x = 801,360.90

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