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Finding the Third Proportional to 199,624.50 and 301,512

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Solution

The third proportional to 199,624.50 and 301,512 is: 455,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624.50 : 301,512 = 301,512 : x
  2. Step 2: Convert to fraction form
    199,624.50/301,512 = 301,512/x
  3. Step 3: Cross multiply
    199,624.50x = 301,512 × 301,512
  4. Step 4: Simplify right side
    199,624.50x = 90,909,486,144
  5. Step 5: Solve for x
    x = 90,909,486,144/199,624.50
  6. Step 6: Final answer
    x = 455,402.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.