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Finding the Third Proportional to 155,513 and 334,932

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Solution

The third proportional to 155,513 and 334,932 is: 721,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,513 : 334,932 = 334,932 : x
  2. Step 2: Convert to fraction form
    155,513/334,932 = 334,932/x
  3. Step 3: Cross multiply
    155,513x = 334,932 × 334,932
  4. Step 4: Simplify right side
    155,513x = 112,179,444,624
  5. Step 5: Solve for x
    x = 112,179,444,624/155,513
  6. Step 6: Final answer
    x = 721,350.91

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