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Finding the Third Proportional to 160,254 and 341,956

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Solution

The third proportional to 160,254 and 341,956 is: 729,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,254 : 341,956 = 341,956 : x
  2. Step 2: Convert to fraction form
    160,254/341,956 = 341,956/x
  3. Step 3: Cross multiply
    160,254x = 341,956 × 341,956
  4. Step 4: Simplify right side
    160,254x = 116,933,905,936
  5. Step 5: Solve for x
    x = 116,933,905,936/160,254
  6. Step 6: Final answer
    x = 729,678.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.