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Finding the Third Proportional to 197,723 and 306,415

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Solution

The third proportional to 197,723 and 306,415 is: 474,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,723 : 306,415 = 306,415 : x
  2. Step 2: Convert to fraction form
    197,723/306,415 = 306,415/x
  3. Step 3: Cross multiply
    197,723x = 306,415 × 306,415
  4. Step 4: Simplify right side
    197,723x = 93,890,152,225
  5. Step 5: Solve for x
    x = 93,890,152,225/197,723
  6. Step 6: Final answer
    x = 474,857.01

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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.