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Finding the Third Proportional to 103,468 and 233,722

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Solution

The third proportional to 103,468 and 233,722 is: 527,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468 : 233,722 = 233,722 : x
  2. Step 2: Convert to fraction form
    103,468/233,722 = 233,722/x
  3. Step 3: Cross multiply
    103,468x = 233,722 × 233,722
  4. Step 4: Simplify right side
    103,468x = 54,625,973,284
  5. Step 5: Solve for x
    x = 54,625,973,284/103,468
  6. Step 6: Final answer
    x = 527,950.41

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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.