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Finding the Third Proportional to 154,713 and 334,684.50

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Solution

The third proportional to 154,713 and 334,684.50 is: 724,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,713 : 334,684.50 = 334,684.50 : x
  2. Step 2: Convert to fraction form
    154,713/334,684.50 = 334,684.50/x
  3. Step 3: Cross multiply
    154,713x = 334,684.50 × 334,684.50
  4. Step 4: Simplify right side
    154,713x = 112,013,714,540.25
  5. Step 5: Solve for x
    x = 112,013,714,540.25/154,713
  6. Step 6: Final answer
    x = 724,009.71

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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.