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Finding the Third Proportional to 270,102 and 581,188.50

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Solution

The third proportional to 270,102 and 581,188.50 is: 1,250,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,102 : 581,188.50 = 581,188.50 : x
  2. Step 2: Convert to fraction form
    270,102/581,188.50 = 581,188.50/x
  3. Step 3: Cross multiply
    270,102x = 581,188.50 × 581,188.50
  4. Step 4: Simplify right side
    270,102x = 337,780,072,532.25
  5. Step 5: Solve for x
    x = 337,780,072,532.25/270,102
  6. Step 6: Final answer
    x = 1,250,564.87

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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.