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Finding the Third Proportional to 160,216 and 241,551

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Solution

The third proportional to 160,216 and 241,551 is: 364,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,216 : 241,551 = 241,551 : x
  2. Step 2: Convert to fraction form
    160,216/241,551 = 241,551/x
  3. Step 3: Cross multiply
    160,216x = 241,551 × 241,551
  4. Step 4: Simplify right side
    160,216x = 58,346,885,601
  5. Step 5: Solve for x
    x = 58,346,885,601/160,216
  6. Step 6: Final answer
    x = 364,176.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.