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Finding the Third Proportional to 178,248.50 and 387,236

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Solution

The third proportional to 178,248.50 and 387,236 is: 841,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248.50 : 387,236 = 387,236 : x
  2. Step 2: Convert to fraction form
    178,248.50/387,236 = 387,236/x
  3. Step 3: Cross multiply
    178,248.50x = 387,236 × 387,236
  4. Step 4: Simplify right side
    178,248.50x = 149,951,719,696
  5. Step 5: Solve for x
    x = 149,951,719,696/178,248.50
  6. Step 6: Final answer
    x = 841,250.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.