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Finding the Third Proportional to 161,509.50 and 226,324.50

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Solution

The third proportional to 161,509.50 and 226,324.50 is: 317,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.50 : 226,324.50 = 226,324.50 : x
  2. Step 2: Convert to fraction form
    161,509.50/226,324.50 = 226,324.50/x
  3. Step 3: Cross multiply
    161,509.50x = 226,324.50 × 226,324.50
  4. Step 4: Simplify right side
    161,509.50x = 51,222,779,300.25
  5. Step 5: Solve for x
    x = 51,222,779,300.25/161,509.50
  6. Step 6: Final answer
    x = 317,150.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.