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Finding the Third Proportional to 197,548 and 305,970

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Solution

The third proportional to 197,548 and 305,970 is: 473,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548 : 305,970 = 305,970 : x
  2. Step 2: Convert to fraction form
    197,548/305,970 = 305,970/x
  3. Step 3: Cross multiply
    197,548x = 305,970 × 305,970
  4. Step 4: Simplify right side
    197,548x = 93,617,640,900
  5. Step 5: Solve for x
    x = 93,617,640,900/197,548
  6. Step 6: Final answer
    x = 473,898.20

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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.