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Finding the Third Proportional to 107,455 and 234,594

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Solution

The third proportional to 107,455 and 234,594 is: 512,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,455 : 234,594 = 234,594 : x
  2. Step 2: Convert to fraction form
    107,455/234,594 = 234,594/x
  3. Step 3: Cross multiply
    107,455x = 234,594 × 234,594
  4. Step 4: Simplify right side
    107,455x = 55,034,344,836
  5. Step 5: Solve for x
    x = 55,034,344,836/107,455
  6. Step 6: Final answer
    x = 512,161.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.