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Finding the Third Proportional to 178,473 and 237,937.50

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Solution

The third proportional to 178,473 and 237,937.50 is: 317,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,473 : 237,937.50 = 237,937.50 : x
  2. Step 2: Convert to fraction form
    178,473/237,937.50 = 237,937.50/x
  3. Step 3: Cross multiply
    178,473x = 237,937.50 × 237,937.50
  4. Step 4: Simplify right side
    178,473x = 56,614,253,906.25
  5. Step 5: Solve for x
    x = 56,614,253,906.25/178,473
  6. Step 6: Final answer
    x = 317,214.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.