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Finding the Third Proportional to 116,965.50 and 238,169

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Solution

The third proportional to 116,965.50 and 238,169 is: 484,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965.50 : 238,169 = 238,169 : x
  2. Step 2: Convert to fraction form
    116,965.50/238,169 = 238,169/x
  3. Step 3: Cross multiply
    116,965.50x = 238,169 × 238,169
  4. Step 4: Simplify right side
    116,965.50x = 56,724,472,561
  5. Step 5: Solve for x
    x = 56,724,472,561/116,965.50
  6. Step 6: Final answer
    x = 484,967.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.