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Finding the Third Proportional to 147,503.25 and 223,975.13

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Solution

The third proportional to 147,503.25 and 223,975.13 is: 340,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,503.25 : 223,975.13 = 223,975.13 : x
  2. Step 2: Convert to fraction form
    147,503.25/223,975.13 = 223,975.13/x
  3. Step 3: Cross multiply
    147,503.25x = 223,975.13 × 223,975.13
  4. Step 4: Simplify right side
    147,503.25x = 50,164,856,618.77
  5. Step 5: Solve for x
    x = 50,164,856,618.77/147,503.25
  6. Step 6: Final answer
    x = 340,093.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.