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Finding the Third Proportional to 144,390.50 and 337,359.75

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Solution

The third proportional to 144,390.50 and 337,359.75 is: 788,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,390.50 : 337,359.75 = 337,359.75 : x
  2. Step 2: Convert to fraction form
    144,390.50/337,359.75 = 337,359.75/x
  3. Step 3: Cross multiply
    144,390.50x = 337,359.75 × 337,359.75
  4. Step 4: Simplify right side
    144,390.50x = 113,811,600,920.06
  5. Step 5: Solve for x
    x = 113,811,600,920.06/144,390.50
  6. Step 6: Final answer
    x = 788,220.84

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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.