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Finding the Third Proportional to 197,640 and 305,712

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Solution

The third proportional to 197,640 and 305,712 is: 472,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,640 : 305,712 = 305,712 : x
  2. Step 2: Convert to fraction form
    197,640/305,712 = 305,712/x
  3. Step 3: Cross multiply
    197,640x = 305,712 × 305,712
  4. Step 4: Simplify right side
    197,640x = 93,459,826,944
  5. Step 5: Solve for x
    x = 93,459,826,944/197,640
  6. Step 6: Final answer
    x = 472,879.11

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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.