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Finding the Third Proportional to 261,567 and 370,219

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Solution

The third proportional to 261,567 and 370,219 is: 524,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,567 : 370,219 = 370,219 : x
  2. Step 2: Convert to fraction form
    261,567/370,219 = 370,219/x
  3. Step 3: Cross multiply
    261,567x = 370,219 × 370,219
  4. Step 4: Simplify right side
    261,567x = 137,062,107,961
  5. Step 5: Solve for x
    x = 137,062,107,961/261,567
  6. Step 6: Final answer
    x = 524,003.82

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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.