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Finding the Third Proportional to 197,060 and 288,598

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Solution

The third proportional to 197,060 and 288,598 is: 422,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,060 : 288,598 = 288,598 : x
  2. Step 2: Convert to fraction form
    197,060/288,598 = 288,598/x
  3. Step 3: Cross multiply
    197,060x = 288,598 × 288,598
  4. Step 4: Simplify right side
    197,060x = 83,288,805,604
  5. Step 5: Solve for x
    x = 83,288,805,604/197,060
  6. Step 6: Final answer
    x = 422,657.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.