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Finding the Third Proportional to 107,754 and 234,390

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Solution

The third proportional to 107,754 and 234,390 is: 509,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,754 : 234,390 = 234,390 : x
  2. Step 2: Convert to fraction form
    107,754/234,390 = 234,390/x
  3. Step 3: Cross multiply
    107,754x = 234,390 × 234,390
  4. Step 4: Simplify right side
    107,754x = 54,938,672,100
  5. Step 5: Solve for x
    x = 54,938,672,100/107,754
  6. Step 6: Final answer
    x = 509,852.74

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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.