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Finding the Third Proportional to 161,896.50 and 251,323.50

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Solution

The third proportional to 161,896.50 and 251,323.50 is: 390,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,896.50 : 251,323.50 = 251,323.50 : x
  2. Step 2: Convert to fraction form
    161,896.50/251,323.50 = 251,323.50/x
  3. Step 3: Cross multiply
    161,896.50x = 251,323.50 × 251,323.50
  4. Step 4: Simplify right side
    161,896.50x = 63,163,501,652.25
  5. Step 5: Solve for x
    x = 63,163,501,652.25/161,896.50
  6. Step 6: Final answer
    x = 390,147.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.