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Finding the Third Proportional to 133,433.50 and 208,898.50

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Solution

The third proportional to 133,433.50 and 208,898.50 is: 327,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,433.50 : 208,898.50 = 208,898.50 : x
  2. Step 2: Convert to fraction form
    133,433.50/208,898.50 = 208,898.50/x
  3. Step 3: Cross multiply
    133,433.50x = 208,898.50 × 208,898.50
  4. Step 4: Simplify right side
    133,433.50x = 43,638,583,302.25
  5. Step 5: Solve for x
    x = 43,638,583,302.25/133,433.50
  6. Step 6: Final answer
    x = 327,043.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.