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Finding the Third Proportional to 144,420 and 337,436

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Solution

The third proportional to 144,420 and 337,436 is: 788,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,420 : 337,436 = 337,436 : x
  2. Step 2: Convert to fraction form
    144,420/337,436 = 337,436/x
  3. Step 3: Cross multiply
    144,420x = 337,436 × 337,436
  4. Step 4: Simplify right side
    144,420x = 113,863,054,096
  5. Step 5: Solve for x
    x = 113,863,054,096/144,420
  6. Step 6: Final answer
    x = 788,416.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.