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Finding the Third Proportional to 161,220 and 254,197

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Solution

The third proportional to 161,220 and 254,197 is: 400,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,220 : 254,197 = 254,197 : x
  2. Step 2: Convert to fraction form
    161,220/254,197 = 254,197/x
  3. Step 3: Cross multiply
    161,220x = 254,197 × 254,197
  4. Step 4: Simplify right side
    161,220x = 64,616,114,809
  5. Step 5: Solve for x
    x = 64,616,114,809/161,220
  6. Step 6: Final answer
    x = 400,794.66

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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.