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Finding the Third Proportional to 144,992.50 and 318,353.50

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Solution

The third proportional to 144,992.50 and 318,353.50 is: 698,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992.50 : 318,353.50 = 318,353.50 : x
  2. Step 2: Convert to fraction form
    144,992.50/318,353.50 = 318,353.50/x
  3. Step 3: Cross multiply
    144,992.50x = 318,353.50 × 318,353.50
  4. Step 4: Simplify right side
    144,992.50x = 101,348,950,962.25
  5. Step 5: Solve for x
    x = 101,348,950,962.25/144,992.50
  6. Step 6: Final answer
    x = 698,994.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.