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Finding the Third Proportional to 160,764 and 254,760

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Solution

The third proportional to 160,764 and 254,760 is: 403,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,764 : 254,760 = 254,760 : x
  2. Step 2: Convert to fraction form
    160,764/254,760 = 254,760/x
  3. Step 3: Cross multiply
    160,764x = 254,760 × 254,760
  4. Step 4: Simplify right side
    160,764x = 64,902,657,600
  5. Step 5: Solve for x
    x = 64,902,657,600/160,764
  6. Step 6: Final answer
    x = 403,713.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.