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Finding the Third Proportional to 183,375 and 386,662.50

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Solution

The third proportional to 183,375 and 386,662.50 is: 815,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,375 : 386,662.50 = 386,662.50 : x
  2. Step 2: Convert to fraction form
    183,375/386,662.50 = 386,662.50/x
  3. Step 3: Cross multiply
    183,375x = 386,662.50 × 386,662.50
  4. Step 4: Simplify right side
    183,375x = 149,507,888,906.25
  5. Step 5: Solve for x
    x = 149,507,888,906.25/183,375
  6. Step 6: Final answer
    x = 815,312.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.