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Finding the Third Proportional to 178,422.75 and 386,248.50

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Solution

The third proportional to 178,422.75 and 386,248.50 is: 836,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422.75 : 386,248.50 = 386,248.50 : x
  2. Step 2: Convert to fraction form
    178,422.75/386,248.50 = 386,248.50/x
  3. Step 3: Cross multiply
    178,422.75x = 386,248.50 × 386,248.50
  4. Step 4: Simplify right side
    178,422.75x = 149,187,903,752.25
  5. Step 5: Solve for x
    x = 149,187,903,752.25/178,422.75
  6. Step 6: Final answer
    x = 836,148.44

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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.