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Finding the Third Proportional to 215,013 and 333,607.50

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Solution

The third proportional to 215,013 and 333,607.50 is: 517,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,013 : 333,607.50 = 333,607.50 : x
  2. Step 2: Convert to fraction form
    215,013/333,607.50 = 333,607.50/x
  3. Step 3: Cross multiply
    215,013x = 333,607.50 × 333,607.50
  4. Step 4: Simplify right side
    215,013x = 111,293,964,056.25
  5. Step 5: Solve for x
    x = 111,293,964,056.25/215,013
  6. Step 6: Final answer
    x = 517,615.05

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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.