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Finding the Third Proportional to 160,956 and 254,810

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Solution

The third proportional to 160,956 and 254,810 is: 403,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,956 : 254,810 = 254,810 : x
  2. Step 2: Convert to fraction form
    160,956/254,810 = 254,810/x
  3. Step 3: Cross multiply
    160,956x = 254,810 × 254,810
  4. Step 4: Simplify right side
    160,956x = 64,928,136,100
  5. Step 5: Solve for x
    x = 64,928,136,100/160,956
  6. Step 6: Final answer
    x = 403,390.59

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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.