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Finding the Third Proportional to 178,202 and 235,551

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Solution

The third proportional to 178,202 and 235,551 is: 311,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,202 : 235,551 = 235,551 : x
  2. Step 2: Convert to fraction form
    178,202/235,551 = 235,551/x
  3. Step 3: Cross multiply
    178,202x = 235,551 × 235,551
  4. Step 4: Simplify right side
    178,202x = 55,484,273,601
  5. Step 5: Solve for x
    x = 55,484,273,601/178,202
  6. Step 6: Final answer
    x = 311,356.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.