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Finding the Third Proportional to 156,726 and 338,386

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Solution

The third proportional to 156,726 and 338,386 is: 730,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,726 : 338,386 = 338,386 : x
  2. Step 2: Convert to fraction form
    156,726/338,386 = 338,386/x
  3. Step 3: Cross multiply
    156,726x = 338,386 × 338,386
  4. Step 4: Simplify right side
    156,726x = 114,505,084,996
  5. Step 5: Solve for x
    x = 114,505,084,996/156,726
  6. Step 6: Final answer
    x = 730,606.82

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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.