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Finding the Third Proportional to 133,851 and 178,444.50

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Solution

The third proportional to 133,851 and 178,444.50 is: 237,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,851 : 178,444.50 = 178,444.50 : x
  2. Step 2: Convert to fraction form
    133,851/178,444.50 = 178,444.50/x
  3. Step 3: Cross multiply
    133,851x = 178,444.50 × 178,444.50
  4. Step 4: Simplify right side
    133,851x = 31,842,439,580.25
  5. Step 5: Solve for x
    x = 31,842,439,580.25/133,851
  6. Step 6: Final answer
    x = 237,894.67

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Why These Related Problems?

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