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Finding the Third Proportional to 160,541 and 254,420

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Solution

The third proportional to 160,541 and 254,420 is: 403,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,541 : 254,420 = 254,420 : x
  2. Step 2: Convert to fraction form
    160,541/254,420 = 254,420/x
  3. Step 3: Cross multiply
    160,541x = 254,420 × 254,420
  4. Step 4: Simplify right side
    160,541x = 64,729,536,400
  5. Step 5: Solve for x
    x = 64,729,536,400/160,541
  6. Step 6: Final answer
    x = 403,196.30

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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.