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Finding the Third Proportional to 197,624 and 305,688

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Solution

The third proportional to 197,624 and 305,688 is: 472,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 305,688 = 305,688 : x
  2. Step 2: Convert to fraction form
    197,624/305,688 = 305,688/x
  3. Step 3: Cross multiply
    197,624x = 305,688 × 305,688
  4. Step 4: Simplify right side
    197,624x = 93,445,153,344
  5. Step 5: Solve for x
    x = 93,445,153,344/197,624
  6. Step 6: Final answer
    x = 472,843.14

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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.