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Finding the Third Proportional to 135,277.50 and 214,196.50

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Solution

The third proportional to 135,277.50 and 214,196.50 is: 339,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,277.50 : 214,196.50 = 214,196.50 : x
  2. Step 2: Convert to fraction form
    135,277.50/214,196.50 = 214,196.50/x
  3. Step 3: Cross multiply
    135,277.50x = 214,196.50 × 214,196.50
  4. Step 4: Simplify right side
    135,277.50x = 45,880,140,612.25
  5. Step 5: Solve for x
    x = 45,880,140,612.25/135,277.50
  6. Step 6: Final answer
    x = 339,155.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.