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Finding the Third Proportional to 147,442 and 223,899

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Solution

The third proportional to 147,442 and 223,899 is: 340,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442 : 223,899 = 223,899 : x
  2. Step 2: Convert to fraction form
    147,442/223,899 = 223,899/x
  3. Step 3: Cross multiply
    147,442x = 223,899 × 223,899
  4. Step 4: Simplify right side
    147,442x = 50,130,762,201
  5. Step 5: Solve for x
    x = 50,130,762,201/147,442
  6. Step 6: Final answer
    x = 340,003.27

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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.