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Finding the Third Proportional to 175,957 and 386,903

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Solution

The third proportional to 175,957 and 386,903 is: 850,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,957 : 386,903 = 386,903 : x
  2. Step 2: Convert to fraction form
    175,957/386,903 = 386,903/x
  3. Step 3: Cross multiply
    175,957x = 386,903 × 386,903
  4. Step 4: Simplify right side
    175,957x = 149,693,931,409
  5. Step 5: Solve for x
    x = 149,693,931,409/175,957
  6. Step 6: Final answer
    x = 850,741.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.