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Finding the Third Proportional to 143,157 and 323,431.50

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Solution

The third proportional to 143,157 and 323,431.50 is: 730,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,157 : 323,431.50 = 323,431.50 : x
  2. Step 2: Convert to fraction form
    143,157/323,431.50 = 323,431.50/x
  3. Step 3: Cross multiply
    143,157x = 323,431.50 × 323,431.50
  4. Step 4: Simplify right side
    143,157x = 104,607,935,192.25
  5. Step 5: Solve for x
    x = 104,607,935,192.25/143,157
  6. Step 6: Final answer
    x = 730,721.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.