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Finding the Third Proportional to 261,571 and 370,226

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Solution

The third proportional to 261,571 and 370,226 is: 524,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,571 : 370,226 = 370,226 : x
  2. Step 2: Convert to fraction form
    261,571/370,226 = 370,226/x
  3. Step 3: Cross multiply
    261,571x = 370,226 × 370,226
  4. Step 4: Simplify right side
    261,571x = 137,067,291,076
  5. Step 5: Solve for x
    x = 137,067,291,076/261,571
  6. Step 6: Final answer
    x = 524,015.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.