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Finding the Third Proportional to 113,423 and 244,180

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Solution

The third proportional to 113,423 and 244,180 is: 525,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,423 : 244,180 = 244,180 : x
  2. Step 2: Convert to fraction form
    113,423/244,180 = 244,180/x
  3. Step 3: Cross multiply
    113,423x = 244,180 × 244,180
  4. Step 4: Simplify right side
    113,423x = 59,623,872,400
  5. Step 5: Solve for x
    x = 59,623,872,400/113,423
  6. Step 6: Final answer
    x = 525,677.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.