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Finding the Third Proportional to 156,750 and 333,468

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Solution

The third proportional to 156,750 and 333,468 is: 709,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 333,468 = 333,468 : x
  2. Step 2: Convert to fraction form
    156,750/333,468 = 333,468/x
  3. Step 3: Cross multiply
    156,750x = 333,468 × 333,468
  4. Step 4: Simplify right side
    156,750x = 111,200,907,024
  5. Step 5: Solve for x
    x = 111,200,907,024/156,750
  6. Step 6: Final answer
    x = 709,415.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.