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Finding the Third Proportional to 258,889.50 and 562,167

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Solution

The third proportional to 258,889.50 and 562,167 is: 1,220,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,889.50 : 562,167 = 562,167 : x
  2. Step 2: Convert to fraction form
    258,889.50/562,167 = 562,167/x
  3. Step 3: Cross multiply
    258,889.50x = 562,167 × 562,167
  4. Step 4: Simplify right side
    258,889.50x = 316,031,735,889
  5. Step 5: Solve for x
    x = 316,031,735,889/258,889.50
  6. Step 6: Final answer
    x = 1,220,720.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.