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Finding the Third Proportional to 156,764 and 234,776

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Solution

The third proportional to 156,764 and 234,776 is: 351,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,764 : 234,776 = 234,776 : x
  2. Step 2: Convert to fraction form
    156,764/234,776 = 234,776/x
  3. Step 3: Cross multiply
    156,764x = 234,776 × 234,776
  4. Step 4: Simplify right side
    156,764x = 55,119,770,176
  5. Step 5: Solve for x
    x = 55,119,770,176/156,764
  6. Step 6: Final answer
    x = 351,609.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.