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Finding the Third Proportional to 154,716 and 334,690.50

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Solution

The third proportional to 154,716 and 334,690.50 is: 724,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,716 : 334,690.50 = 334,690.50 : x
  2. Step 2: Convert to fraction form
    154,716/334,690.50 = 334,690.50/x
  3. Step 3: Cross multiply
    154,716x = 334,690.50 × 334,690.50
  4. Step 4: Simplify right side
    154,716x = 112,017,730,790.25
  5. Step 5: Solve for x
    x = 112,017,730,790.25/154,716
  6. Step 6: Final answer
    x = 724,021.63

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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.