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Finding the Third Proportional to 136,948.50 and 217,302.75

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Solution

The third proportional to 136,948.50 and 217,302.75 is: 344,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,948.50 : 217,302.75 = 217,302.75 : x
  2. Step 2: Convert to fraction form
    136,948.50/217,302.75 = 217,302.75/x
  3. Step 3: Cross multiply
    136,948.50x = 217,302.75 × 217,302.75
  4. Step 4: Simplify right side
    136,948.50x = 47,220,485,157.56
  5. Step 5: Solve for x
    x = 47,220,485,157.56/136,948.50
  6. Step 6: Final answer
    x = 344,804.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.