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Finding the Third Proportional to 178,202.75 and 235,552

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Solution

The third proportional to 178,202.75 and 235,552 is: 311,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,202.75 : 235,552 = 235,552 : x
  2. Step 2: Convert to fraction form
    178,202.75/235,552 = 235,552/x
  3. Step 3: Cross multiply
    178,202.75x = 235,552 × 235,552
  4. Step 4: Simplify right side
    178,202.75x = 55,484,744,704
  5. Step 5: Solve for x
    x = 55,484,744,704/178,202.75
  6. Step 6: Final answer
    x = 311,357.40

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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.