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Finding the Third Proportional to 160,500 and 248,385

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Solution

The third proportional to 160,500 and 248,385 is: 384,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,500 : 248,385 = 248,385 : x
  2. Step 2: Convert to fraction form
    160,500/248,385 = 248,385/x
  3. Step 3: Cross multiply
    160,500x = 248,385 × 248,385
  4. Step 4: Simplify right side
    160,500x = 61,695,108,225
  5. Step 5: Solve for x
    x = 61,695,108,225/160,500
  6. Step 6: Final answer
    x = 384,393.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.