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Finding the Third Proportional to 144,652 and 296,350.50

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Solution

The third proportional to 144,652 and 296,350.50 is: 607,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 296,350.50 = 296,350.50 : x
  2. Step 2: Convert to fraction form
    144,652/296,350.50 = 296,350.50/x
  3. Step 3: Cross multiply
    144,652x = 296,350.50 × 296,350.50
  4. Step 4: Simplify right side
    144,652x = 87,823,618,850.25
  5. Step 5: Solve for x
    x = 87,823,618,850.25/144,652
  6. Step 6: Final answer
    x = 607,137.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.