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Finding the Third Proportional to 197,760 and 424,320

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Solution

The third proportional to 197,760 and 424,320 is: 910,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,760 : 424,320 = 424,320 : x
  2. Step 2: Convert to fraction form
    197,760/424,320 = 424,320/x
  3. Step 3: Cross multiply
    197,760x = 424,320 × 424,320
  4. Step 4: Simplify right side
    197,760x = 180,047,462,400
  5. Step 5: Solve for x
    x = 180,047,462,400/197,760
  6. Step 6: Final answer
    x = 910,434.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.