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Finding the Third Proportional to 155,139 and 334,026

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Solution

The third proportional to 155,139 and 334,026 is: 719,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,139 : 334,026 = 334,026 : x
  2. Step 2: Convert to fraction form
    155,139/334,026 = 334,026/x
  3. Step 3: Cross multiply
    155,139x = 334,026 × 334,026
  4. Step 4: Simplify right side
    155,139x = 111,573,368,676
  5. Step 5: Solve for x
    x = 111,573,368,676/155,139
  6. Step 6: Final answer
    x = 719,183.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.