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Finding the Third Proportional to 107,462 and 233,588

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Solution

The third proportional to 107,462 and 233,588 is: 507,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,462 : 233,588 = 233,588 : x
  2. Step 2: Convert to fraction form
    107,462/233,588 = 233,588/x
  3. Step 3: Cross multiply
    107,462x = 233,588 × 233,588
  4. Step 4: Simplify right side
    107,462x = 54,563,353,744
  5. Step 5: Solve for x
    x = 54,563,353,744/107,462
  6. Step 6: Final answer
    x = 507,745.56

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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.