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Finding the Third Proportional to 116,800.50 and 167,023.50

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Solution

The third proportional to 116,800.50 and 167,023.50 is: 238,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,800.50 : 167,023.50 = 167,023.50 : x
  2. Step 2: Convert to fraction form
    116,800.50/167,023.50 = 167,023.50/x
  3. Step 3: Cross multiply
    116,800.50x = 167,023.50 × 167,023.50
  4. Step 4: Simplify right side
    116,800.50x = 27,896,849,552.25
  5. Step 5: Solve for x
    x = 27,896,849,552.25/116,800.50
  6. Step 6: Final answer
    x = 238,841.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.