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Finding the Third Proportional to 116,980 and 239,491.50

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Solution

The third proportional to 116,980 and 239,491.50 is: 490,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980 : 239,491.50 = 239,491.50 : x
  2. Step 2: Convert to fraction form
    116,980/239,491.50 = 239,491.50/x
  3. Step 3: Cross multiply
    116,980x = 239,491.50 × 239,491.50
  4. Step 4: Simplify right side
    116,980x = 57,356,178,572.25
  5. Step 5: Solve for x
    x = 57,356,178,572.25/116,980
  6. Step 6: Final answer
    x = 490,307.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.