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Finding the Third Proportional to 237,726 and 369,285

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Solution

The third proportional to 237,726 and 369,285 is: 573,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,726 : 369,285 = 369,285 : x
  2. Step 2: Convert to fraction form
    237,726/369,285 = 369,285/x
  3. Step 3: Cross multiply
    237,726x = 369,285 × 369,285
  4. Step 4: Simplify right side
    237,726x = 136,371,411,225
  5. Step 5: Solve for x
    x = 136,371,411,225/237,726
  6. Step 6: Final answer
    x = 573,649.54

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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.