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Finding the Third Proportional to 160,434 and 254,259

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Solution

The third proportional to 160,434 and 254,259 is: 402,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434 : 254,259 = 254,259 : x
  2. Step 2: Convert to fraction form
    160,434/254,259 = 254,259/x
  3. Step 3: Cross multiply
    160,434x = 254,259 × 254,259
  4. Step 4: Simplify right side
    160,434x = 64,647,639,081
  5. Step 5: Solve for x
    x = 64,647,639,081/160,434
  6. Step 6: Final answer
    x = 402,954.73

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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.