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Finding the Third Proportional to 117,493.50 and 216,123.75

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Solution

The third proportional to 117,493.50 and 216,123.75 is: 397,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,493.50 : 216,123.75 = 216,123.75 : x
  2. Step 2: Convert to fraction form
    117,493.50/216,123.75 = 216,123.75/x
  3. Step 3: Cross multiply
    117,493.50x = 216,123.75 × 216,123.75
  4. Step 4: Simplify right side
    117,493.50x = 46,709,475,314.06
  5. Step 5: Solve for x
    x = 46,709,475,314.06/117,493.50
  6. Step 6: Final answer
    x = 397,549.44

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.