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Finding the Third Proportional to 147,392 and 223,896

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Solution

The third proportional to 147,392 and 223,896 is: 340,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,392 : 223,896 = 223,896 : x
  2. Step 2: Convert to fraction form
    147,392/223,896 = 223,896/x
  3. Step 3: Cross multiply
    147,392x = 223,896 × 223,896
  4. Step 4: Simplify right side
    147,392x = 50,129,418,816
  5. Step 5: Solve for x
    x = 50,129,418,816/147,392
  6. Step 6: Final answer
    x = 340,109.50

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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.