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Finding the Third Proportional to 144,652.50 and 315,009

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Solution

The third proportional to 144,652.50 and 315,009 is: 685,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652.50 : 315,009 = 315,009 : x
  2. Step 2: Convert to fraction form
    144,652.50/315,009 = 315,009/x
  3. Step 3: Cross multiply
    144,652.50x = 315,009 × 315,009
  4. Step 4: Simplify right side
    144,652.50x = 99,230,670,081
  5. Step 5: Solve for x
    x = 99,230,670,081/144,652.50
  6. Step 6: Final answer
    x = 685,993.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.