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Finding the Third Proportional to 156,776 and 338,128

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Solution

The third proportional to 156,776 and 338,128 is: 729,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 338,128 = 338,128 : x
  2. Step 2: Convert to fraction form
    156,776/338,128 = 338,128/x
  3. Step 3: Cross multiply
    156,776x = 338,128 × 338,128
  4. Step 4: Simplify right side
    156,776x = 114,330,544,384
  5. Step 5: Solve for x
    x = 114,330,544,384/156,776
  6. Step 6: Final answer
    x = 729,260.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.