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Finding the Third Proportional to 178,944.19 and 385,909.31

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Solution

The third proportional to 178,944.19 and 385,909.31 is: 832,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,944.19 : 385,909.31 = 385,909.31 : x
  2. Step 2: Convert to fraction form
    178,944.19/385,909.31 = 385,909.31/x
  3. Step 3: Cross multiply
    178,944.19x = 385,909.31 × 385,909.31
  4. Step 4: Simplify right side
    178,944.19x = 148,925,997,474.22
  5. Step 5: Solve for x
    x = 148,925,997,474.22/178,944.19
  6. Step 6: Final answer
    x = 832,248.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.