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Finding the Third Proportional to 160,462 and 254,301

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Solution

The third proportional to 160,462 and 254,301 is: 403,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,462 : 254,301 = 254,301 : x
  2. Step 2: Convert to fraction form
    160,462/254,301 = 254,301/x
  3. Step 3: Cross multiply
    160,462x = 254,301 × 254,301
  4. Step 4: Simplify right side
    160,462x = 64,668,998,601
  5. Step 5: Solve for x
    x = 64,668,998,601/160,462
  6. Step 6: Final answer
    x = 403,017.53

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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.