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Finding the Third Proportional to 107,860 and 234,044

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Solution

The third proportional to 107,860 and 234,044 is: 507,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,860 : 234,044 = 234,044 : x
  2. Step 2: Convert to fraction form
    107,860/234,044 = 234,044/x
  3. Step 3: Cross multiply
    107,860x = 234,044 × 234,044
  4. Step 4: Simplify right side
    107,860x = 54,776,593,936
  5. Step 5: Solve for x
    x = 54,776,593,936/107,860
  6. Step 6: Final answer
    x = 507,849.01

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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.