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Finding the Third Proportional to 178,576.31 and 242,258.34

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Solution

The third proportional to 178,576.31 and 242,258.34 is: 328,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576.31 : 242,258.34 = 242,258.34 : x
  2. Step 2: Convert to fraction form
    178,576.31/242,258.34 = 242,258.34/x
  3. Step 3: Cross multiply
    178,576.31x = 242,258.34 × 242,258.34
  4. Step 4: Simplify right side
    178,576.31x = 58,689,105,116.49
  5. Step 5: Solve for x
    x = 58,689,105,116.49/178,576.31
  6. Step 6: Final answer
    x = 328,650.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.