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Finding the Third Proportional to 147,420 and 223,863.75

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Solution

The third proportional to 147,420 and 223,863.75 is: 339,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,420 : 223,863.75 = 223,863.75 : x
  2. Step 2: Convert to fraction form
    147,420/223,863.75 = 223,863.75/x
  3. Step 3: Cross multiply
    147,420x = 223,863.75 × 223,863.75
  4. Step 4: Simplify right side
    147,420x = 50,114,978,564.06
  5. Step 5: Solve for x
    x = 50,114,978,564.06/147,420
  6. Step 6: Final answer
    x = 339,946.94

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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.