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Finding the Third Proportional to 210,124 and 308,274

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Solution

The third proportional to 210,124 and 308,274 is: 452,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124 : 308,274 = 308,274 : x
  2. Step 2: Convert to fraction form
    210,124/308,274 = 308,274/x
  3. Step 3: Cross multiply
    210,124x = 308,274 × 308,274
  4. Step 4: Simplify right side
    210,124x = 95,032,859,076
  5. Step 5: Solve for x
    x = 95,032,859,076/210,124
  6. Step 6: Final answer
    x = 452,270.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.