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Finding the Third Proportional to 215,005 and 334,033.50

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Solution

The third proportional to 215,005 and 334,033.50 is: 518,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,005 : 334,033.50 = 334,033.50 : x
  2. Step 2: Convert to fraction form
    215,005/334,033.50 = 334,033.50/x
  3. Step 3: Cross multiply
    215,005x = 334,033.50 × 334,033.50
  4. Step 4: Simplify right side
    215,005x = 111,578,379,122.25
  5. Step 5: Solve for x
    x = 111,578,379,122.25/215,005
  6. Step 6: Final answer
    x = 518,957.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.