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Finding the Third Proportional to 145,693.50 and 225,009

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Solution

The third proportional to 145,693.50 and 225,009 is: 347,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,693.50 : 225,009 = 225,009 : x
  2. Step 2: Convert to fraction form
    145,693.50/225,009 = 225,009/x
  3. Step 3: Cross multiply
    145,693.50x = 225,009 × 225,009
  4. Step 4: Simplify right side
    145,693.50x = 50,629,050,081
  5. Step 5: Solve for x
    x = 50,629,050,081/145,693.50
  6. Step 6: Final answer
    x = 347,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.